390475008 has 432 divisors, whose sum is σ = 1469325312. Its totient is φ = 96768000.

The previous prime is 390474991. The next prime is 390475031. The reversal of 390475008 is 800574093.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5499613 + ... + 5499683.

It is an arithmetic number, because the mean of its divisors is an integer number (3401216).

Almost surely, 2^390475008 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 390475008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734662656).

390475008 is an abundant number, since it is smaller than the sum of its proper divisors (1078850304).

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

390475008 is a wasteful number, since it uses less digits than its factorization.

390475008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 390475008 is about 19760.4404809205. The cubic root of 390475008 is about 730.9108589979.

The spelling of 390475008 in words is "three hundred ninety million, four hundred seventy-five thousand, eight".