390365352 has 256 divisors, whose sum is σ = 1237420800. Its totient is φ = 113218560.

The previous prime is 390365347. The next prime is 390365363. The reversal of 390365352 is 253563093.

390365352 is a `hidden beast` number, since 3 + 90 + 36 + 535 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6399402 + ... + 6399462.

It is an arithmetic number, because the mean of its divisors is an integer number (4833675).

Almost surely, 2^390365352 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 390365352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

390365352 is an abundant number, since it is smaller than the sum of its proper divisors (847055448).

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

390365352 is a wasteful number, since it uses less digits than its factorization.

390365352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The square root of 390365352 is about 19757.6656515895. The cubic root of 390365352 is about 730.8424327108.

The spelling of 390365352 in words is "three hundred ninety million, three hundred sixty-five thousand, three hundred fifty-two".