390966912 has 160 divisors (see below), whose sum is σ = 1329973920. Its totient is φ = 111684096.

The previous prime is 390966889. The next prime is 390966929. The reversal of 390966912 is 219669093.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69883 + ... + 75269.

It is an arithmetic number, because the mean of its divisors is an integer number (8312337).

Almost surely, 2^390966912 is an apocalyptic number.

390966912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664986960).

390966912 is an abundant number, since it is smaller than the sum of its proper divisors (939007008).

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

390966912 is an equidigital number, since it uses as much as digits as its factorization.

390966912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 390966912 is about 19772.8832495415. The cubic root of 390966912 is about 731.2176537960.

The spelling of 390966912 in words is "three hundred ninety million, nine hundred sixty-six thousand, nine hundred twelve".