232870400 has 240 divisors, whose sum is σ = 694134144. Its totient is φ = 75694080.

The previous prime is 232870349. The next prime is 232870427. The reversal of 232870400 is 4078232.

It is a self number, because there is not a number n which added to its sum of digits gives 232870400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2060744 + ... + 2060856.

Almost surely, 2^232870400 is an apocalyptic number.

232870400 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 232870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347067072).

232870400 is an abundant number, since it is smaller than the sum of its proper divisors (461263744).

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

232870400 is a wasteful number, since it uses less digits than its factorization.

232870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 232870400 is about 15260.0917428435. The cubic root of 232870400 is about 615.2308384994.

The spelling of 232870400 in words is "two hundred thirty-two million, eight hundred seventy thousand, four hundred".