390956832 has 144 divisors (see below), whose sum is σ = 1294937280. Its totient is φ = 109564416.

The previous prime is 390956831. The next prime is 390956849. The reversal of 390956832 is 238659093.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (390956831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105019 + ... + 108677.

It is an arithmetic number, because the mean of its divisors is an integer number (8992620).

Almost surely, 2^390956832 is an apocalyptic number.

390956832 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 390956832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647468640).

390956832 is an abundant number, since it is smaller than the sum of its proper divisors (903980448).

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

390956832 is a wasteful number, since it uses less digits than its factorization.

390956832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 390956832 is about 19772.6283533576. The cubic root of 390956832 is about 731.2113696007.

The spelling of 390956832 in words is "three hundred ninety million, nine hundred fifty-six thousand, eight hundred thirty-two".