390808320 has 432 divisors, whose sum is σ = 1521128448. Its totient is φ = 85155840.

The previous prime is 390808307. The next prime is 390808331. The reversal of 390808320 is 23808093.

It is a super-2 number, since 2×390808320² = 305462285962444800, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5832927 + ... + 5832993.

Almost surely, 2^390808320 is an apocalyptic number.

390808320 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 390808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760564224).

390808320 is an abundant number, since it is smaller than the sum of its proper divisors (1130320128).

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

390808320 is a wasteful number, since it uses less digits than its factorization.

390808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 390808320 is about 19768.8725019916. The cubic root of 390808320 is about 731.1187699347.

The spelling of 390808320 in words is "three hundred ninety million, eight hundred eight thousand, three hundred twenty".