390976320 has 224 divisors, whose sum is σ = 1439923968. Its totient is φ = 88031232.

The previous prime is 390976273. The next prime is 390976331. The reversal of 390976320 is 23679093.

390976320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490162 + ... + 490958.

It is an arithmetic number, because the mean of its divisors is an integer number (6428232).

Almost surely, 2^390976320 is an apocalyptic number.

390976320 is a gapful number since it is divisible by the number (30) 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 390976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719961984).

390976320 is an abundant number, since it is smaller than the sum of its proper divisors (1048947648).

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

390976320 is a wasteful number, since it uses less digits than its factorization.

390976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 390976320 is about 19773.1211496820. The cubic root of 390976320 is about 731.2235189475.

The spelling of 390976320 in words is "three hundred ninety million, nine hundred seventy-six thousand, three hundred twenty".