390422592 has 420 divisors, whose sum is σ = 1418988780. Its totient is φ = 105670656.

The previous prime is 390422579. The next prime is 390422609. The reversal of 390422592 is 295224093.

It can be written as a sum of positive squares in 2 ways, for example, as 244109376 + 146313216 = 15624^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7366438 + ... + 7366490.

Almost surely, 2^390422592 is an apocalyptic number.

390422592 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 390422592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709494390).

390422592 is an abundant number, since it is smaller than the sum of its proper divisors (1028566188).

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

390422592 is a wasteful number, since it uses less digits than its factorization.

390422592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 390422592 is about 19759.1141501840. The cubic root of 390422592 is about 730.8781525615.

The spelling of 390422592 in words is "three hundred ninety million, four hundred twenty-two thousand, five hundred ninety-two".