239320900 has 243 divisors, whose sum is σ = 694902789. Its totient is φ = 71285760.

The previous prime is 239320871. The next prime is 239320901. The reversal of 239320900 is 9023932.

It is a happy number.

The square root of 239320900 is 15470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 174292804 + 65028096 = 13202^2 + 8064^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (239320901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14077692 + ... + 14077708.

Almost surely, 2^239320900 is an apocalyptic number.

239320900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

239320900 is the 15470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239320900

239320900 is an abundant number, since it is smaller than the sum of its proper divisors (455581889).

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

239320900 is a wasteful number, since it uses less digits than its factorization.

239320900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The cubic root of 239320900 is about 620.8598025840.

Multiplying 239320900 by its product of nonzero digits (2916), we get a square (697859744400 = 835380²).

The spelling of 239320900 in words is "two hundred thirty-nine million, three hundred twenty thousand, nine hundred".