390582864 has 160 divisors (see below), whose sum is σ = 1305987840. Its totient is φ = 109444608.

The previous prime is 390582859. The next prime is 390582869. The reversal of 390582864 is 468285093.

390582864 is a `hidden beast` number, since 3 + 9 + 0 + 582 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (390582859) and next prime (390582869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390582869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159054 + ... + 161490.

It is an arithmetic number, because the mean of its divisors is an integer number (8162424).

Almost surely, 2^390582864 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 390582864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652993920).

390582864 is an abundant number, since it is smaller than the sum of its proper divisors (915404976).

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

390582864 is a wasteful number, since it uses less digits than its factorization.

390582864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 390582864 is about 19763.1693814530. The cubic root of 390582864 is about 730.9781495737.

The spelling of 390582864 in words is "three hundred ninety million, five hundred eighty-two thousand, eight hundred sixty-four".