386439264 has 72 divisors (see below), whose sum is σ = 1122357600. Its totient is φ = 126067968.

The previous prime is 386439241. The next prime is 386439299. The reversal of 386439264 is 462934683.

386439264 is a `hidden beast` number, since 386 + 4 + 3 + 9 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 739 + ... + 27810.

It is an arithmetic number, because the mean of its divisors is an integer number (15588300).

Almost surely, 2^386439264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386439264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561178800).

386439264 is an abundant number, since it is smaller than the sum of its proper divisors (735918336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

386439264 is a wasteful number, since it uses less digits than its factorization.

386439264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28612 (or 28601 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 386439264 is about 19658.0585002690. The cubic root of 386439264 is about 728.3840303660.

The spelling of 386439264 in words is "three hundred eighty-six million, four hundred thirty-nine thousand, two hundred sixty-four".