385932864 has 112 divisors (see below), whose sum is σ = 1091590400. Its totient is φ = 119978496.

The previous prime is 385932853. The next prime is 385932887. The reversal of 385932864 is 468239583.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243627 + ... + 245205.

Almost surely, 2^385932864 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 385932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545795200).

385932864 is an abundant number, since it is smaller than the sum of its proper divisors (705657536).

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

385932864 is a wasteful number, since it uses less digits than its factorization.

385932864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1670 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 385932864 is about 19645.1740638763. The cubic root of 385932864 is about 728.0657268677.

The spelling of 385932864 in words is "three hundred eighty-five million, nine hundred thirty-two thousand, eight hundred sixty-four".