390518352 has 120 divisors (see below), whose sum is σ = 1255038720. Its totient is φ = 111041280.

The previous prime is 390518351. The next prime is 390518431. The reversal of 390518352 is 253815093.

390518352 is a `hidden beast` number, since 3 + 90 + 518 + 3 + 52 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390518351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240102 + ... + 241722.

It is an arithmetic number, because the mean of its divisors is an integer number (10458656).

Almost surely, 2^390518352 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 390518352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627519360).

390518352 is an abundant number, since it is smaller than the sum of its proper divisors (864520368).

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

390518352 is a wasteful number, since it uses less digits than its factorization.

390518352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 390518352 is about 19761.5371871725. The cubic root of 390518352 is about 730.9379024940.

The spelling of 390518352 in words is "three hundred ninety million, five hundred eighteen thousand, three hundred fifty-two".