232120400 has 30 divisors (see below), whose sum is σ = 557670222. Its totient is φ = 92848000.

The previous prime is 232120387. The next prime is 232120417. The reversal of 232120400 is 4021232.

It can be written as a sum of positive squares in 3 ways, for example, as 5798464 + 226321936 = 2408^2 + 15044^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 289751 + ... + 290550.

Almost surely, 2^232120400 is an apocalyptic number.

232120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232120400 is an abundant number, since it is smaller than the sum of its proper divisors (325549822).

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

232120400 is a wasteful number, since it uses less digits than its factorization.

232120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580319 (or 580308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 232120400 is about 15235.4980227100. The cubic root of 232120400 is about 614.5696418540.

Adding to 232120400 its reverse (4021232), we get a palindrome (236141632).

The spelling of 232120400 in words is "two hundred thirty-two million, one hundred twenty thousand, four hundred".