390916800 has 168 divisors, whose sum is σ = 1425194000. Its totient is φ = 104232960.

The previous prime is 390916783. The next prime is 390916829. The reversal of 390916800 is 8619093.

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 23 ways as a sum of consecutive naturals, for example, 38676 + ... + 47724.

Almost surely, 2^390916800 is an apocalyptic number.

390916800 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 390916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712597000).

390916800 is an abundant number, since it is smaller than the sum of its proper divisors (1034277200).

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

390916800 is a wasteful number, since it uses less digits than its factorization.

390916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080 (or 9059 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 390916800 is about 19771.6160189298. The cubic root of 390916800 is about 731.1864113016.

The spelling of 390916800 in words is "three hundred ninety million, nine hundred sixteen thousand, eight hundred".