232010400 has 72 divisors (see below), whose sum is σ = 755201664. Its totient is φ = 61868800.

The previous prime is 232010399. The next prime is 232010419. The reversal of 232010400 is 4010232.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 45936 + ... + 50735.

It is an arithmetic number, because the mean of its divisors is an integer number (10488912).

Almost surely, 2^232010400 is an apocalyptic number.

232010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232010400 is an abundant number, since it is smaller than the sum of its proper divisors (523191264).

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

232010400 is a wasteful number, since it uses less digits than its factorization.

232010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96694 (or 96681 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 232010400 is about 15231.8876046273. The cubic root of 232010400 is about 614.4725466365.

Adding to 232010400 its reverse (4010232), we get a palindrome (236020632).

It can be divided in two parts, 2320 and 10400, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 232010400 in words is "two hundred thirty-two million, ten thousand, four hundred".