390323232 has 384 divisors, whose sum is σ = 1354752000. Its totient is φ = 108241920.

The previous prime is 390323191. The next prime is 390323237. The reversal of 390323232 is 232323093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 390323196 and 390323205.

It is not an unprimeable number, because it can be changed into a prime (390323237) 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 63 ways as a sum of consecutive naturals, for example, 6615619 + ... + 6615677.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2^390323232 is an apocalyptic number.

390323232 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 390323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376000).

390323232 is an abundant number, since it is smaller than the sum of its proper divisors (964428768).

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

390323232 is a wasteful number, since it uses less digits than its factorization.

390323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 390323232 is about 19756.5997074395. The cubic root of 390323232 is about 730.8161460622.

The spelling of 390323232 in words is "three hundred ninety million, three hundred twenty-three thousand, two hundred thirty-two".