As stated in Caitanya-caritāmṛta (Madhya 22.54):

‘sādhu-saṅga’, ‘sādhu-saṅga’ — sarva-śāstre kaya
 lava-mātra sādhu-saṅge sarva-siddhi haya

“Association with devotees is recommended by all the śāstras because by even a moment of such association one can receive the seed for all perfection.” In the beginning of his life Ajāmila was certainly very pure, and he associated with devotees and brāhmaṇas; because of that pious activity, even though he was fallen, he was inspired to name his son Nārāyaṇa. Certainly this was due to good counsel given from within by the Supreme Personality of Godhead. As the Lord says in Bhagavad-gītā (15.15), sarvasya cāhaṁ hṛdi sanniviṣṭo mattaḥ smṛtir jñānam apohanaṁ ca: “I am seated in everyone’s heart, and from Me come remembrance, knowledge and forgetfulness.” The Lord, who is situated in everyone’s heart, is so kind that if one has ever rendered service to Him, the Lord never forgets him. Thus the Lord, from within, gave Ajāmila the opportunity to name his youngest son Nārāyaṇa so that in affection he would constantly call “Nārāyaṇa! Nārāyaṇa!” and thus be saved from the most fearful and dangerous condition at the time of his death. Such is the mercy of Kṛṣṇa. Guru-kṛṣṇa-prasāde pāya bhakti-latā-bīja: by the mercy of the guru and Kṛṣṇa, one receives the seed of bhakti. This association saves a devotee from the greatest fear. In our Kṛṣṇa consciousness movement we therefore change a devotee’s name to a form that reminds him of Viṣṇu. If at the time of death the devotee can remember his own name, such as Kṛṣṇadāsa or Govinda dāsa, he can be saved from the greatest danger. Therefore the change of names at the time of initiation is essential. The Kṛṣṇa consciousness movement is so meticulous that it gives one a good opportunity to remember Kṛṣṇa somehow or other.