239976000 has 448 divisors, whose sum is σ = 969995520. Its totient is φ = 57600000.

The previous prime is 239975971. The next prime is 239976017. The reversal of 239976000 is 679932.

239976000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 2375950 + ... + 2376050.

Almost surely, 2^239976000 is an apocalyptic number.

239976000 is a gapful number since it is divisible by the number (20) 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 239976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484997760).

239976000 is an abundant number, since it is smaller than the sum of its proper divisors (730019520).

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

239976000 is a wasteful number, since it uses less digits than its factorization.

239976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 239976000 is about 15491.1587687945. The cubic root of 239976000 is about 621.4257856169.

The spelling of 239976000 in words is "two hundred thirty-nine million, nine hundred seventy-six thousand".