239978400 has 72 divisors (see below), whose sum is σ = 781137504. Its totient is φ = 63993600.

The previous prime is 239978383. The next prime is 239978413. The reversal of 239978400 is 4879932.

239978400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47596 + ... + 52395.

It is an arithmetic number, because the mean of its divisors is an integer number (10849132).

Almost surely, 2^239978400 is an apocalyptic number.

239978400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

239978400 is an abundant number, since it is smaller than the sum of its proper divisors (541159104).

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

239978400 is a wasteful number, since it uses less digits than its factorization.

239978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100014 (or 100001 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 239978400 is about 15491.2362321411. The cubic root of 239978400 is about 621.4278572364.

The spelling of 239978400 in words is "two hundred thirty-nine million, nine hundred seventy-eight thousand, four hundred".