390892960 has 48 divisors (see below), whose sum is σ = 928392192. Its totient is φ = 155526400.

The previous prime is 390892939. The next prime is 390892961. The reversal of 390892960 is 69298093.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 390892960.

It is not an unprimeable number, because it can be changed into a prime (390892961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24165 + ... + 36955.

It is an arithmetic number, because the mean of its divisors is an integer number (19341504).

Almost surely, 2^390892960 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 390892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464196096).

390892960 is an abundant number, since it is smaller than the sum of its proper divisors (537499232).

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

390892960 is a wasteful number, since it uses less digits than its factorization.

390892960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12997 (or 12989 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The square root of 390892960 is about 19771.0131252802. The cubic root of 390892960 is about 731.1715472364.

The spelling of 390892960 in words is "three hundred ninety million, eight hundred ninety-two thousand, nine hundred sixty".