390852800 has 336 divisors, whose sum is σ = 1164092160. Its totient is φ = 127733760.

The previous prime is 390852767. The next prime is 390852809. The reversal of 390852800 is 8258093.

It is a super-2 number, since 2×390852800² = 305531822535680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (390852809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9089579 + ... + 9089621.

It is an arithmetic number, because the mean of its divisors is an integer number (3464560).

Almost surely, 2^390852800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582046080).

390852800 is an abundant number, since it is smaller than the sum of its proper divisors (773239360).

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

390852800 is a wasteful number, since it uses less digits than its factorization.

390852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 390852800 is about 19769.9974709154. The cubic root of 390852800 is about 731.1465064042.

The spelling of 390852800 in words is "three hundred ninety million, eight hundred fifty-two thousand, eight hundred".