390994560 has 512 divisors, whose sum is σ = 1612742400. Its totient is φ = 89210880.

The previous prime is 390994553. The next prime is 390994579. The reversal of 390994560 is 65499093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22999672 + ... + 22999688.

Almost surely, 2^390994560 is an apocalyptic number.

390994560 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 390994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806371200).

390994560 is an abundant number, since it is smaller than the sum of its proper divisors (1221747840).

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

390994560 is a wasteful number, since it uses less digits than its factorization.

390994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 390994560 is about 19773.5823764941. The cubic root of 390994560 is about 731.2348898916.

The spelling of 390994560 in words is "three hundred ninety million, nine hundred ninety-four thousand, five hundred sixty".