390200480 has 48 divisors (see below), whose sum is σ = 923144040. Its totient is φ = 155860992.

The previous prime is 390200479. The next prime is 390200501. The reversal of 390200480 is 84002093.

It can be written as a sum of positive squares in 4 ways, for example, as 366033424 + 24167056 = 19132^2 + 4916^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160232 + ... + 162648.

Almost surely, 2^390200480 is an apocalyptic number.

It is an amenable number.

390200480 is an abundant number, since it is smaller than the sum of its proper divisors (532943560).

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

390200480 is a wasteful number, since it uses less digits than its factorization.

390200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 390200480 is about 19753.4928556952. The cubic root of 390200480 is about 730.7395270432.

The spelling of 390200480 in words is "three hundred ninety million, two hundred thousand, four hundred eighty".