390153168 has 30 divisors (see below), whose sum is σ = 1091887394. Its totient is φ = 130051008.

The previous prime is 390153161. The next prime is 390153173. The reversal of 390153168 is 861351093.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 390141504 + 11664 = 19752^2 + 108^2 .

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 (390153161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1354555 + ... + 1354842.

Almost surely, 2^390153168 is an apocalyptic number.

It is an amenable number.

390153168 is an abundant number, since it is smaller than the sum of its proper divisors (701734226).

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

390153168 is a wasteful number, since it uses less digits than its factorization.

390153168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709411 (or 2709402 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 390153168 is about 19752.2952590326. The cubic root of 390153168 is about 730.7099916739.

The spelling of 390153168 in words is "three hundred ninety million, one hundred fifty-three thousand, one hundred sixty-eight".