390235968 has 70 divisors (see below), whose sum is σ = 1156797026. Its totient is φ = 130076928.

The previous prime is 390235961. The next prime is 390235987. The reversal of 390235968 is 869532093.

390235968 is a `hidden beast` number, since 39 + 0 + 23 + 596 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 375119424 + 15116544 = 19368^2 + 3888^2 .

It is a super-2 number, since 2×390235968² = 304568221441794048, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390235961) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 32455 + ... + 42822.

Almost surely, 2^390235968 is an apocalyptic number.

It is an amenable number.

390235968 is an abundant number, since it is smaller than the sum of its proper divisors (766561058).

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

390235968 is an equidigital number, since it uses as much as digits as its factorization.

390235968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75301 (or 75282 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 390235968 is about 19754.3911067894. The cubic root of 390235968 is about 730.7616795003.

The spelling of 390235968 in words is "three hundred ninety million, two hundred thirty-five thousand, nine hundred sixty-eight".