390378752 has 72 divisors (see below), whose sum is σ = 830616192. Its totient is φ = 182476800.

The previous prime is 390378739. The next prime is 390378763. The reversal of 390378752 is 257873093.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1179227 + ... + 1179557.

It is an arithmetic number, because the mean of its divisors is an integer number (11536336).

Almost surely, 2^390378752 is an apocalyptic number.

390378752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415308096).

390378752 is an abundant number, since it is smaller than the sum of its proper divisors (440237440).

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

390378752 is a wasteful number, since it uses less digits than its factorization.

390378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The square root of 390378752 is about 19758.0047575660. The cubic root of 390378752 is about 730.8507951133.

The spelling of 390378752 in words is "three hundred ninety million, three hundred seventy-eight thousand, seven hundred fifty-two".