232278400 has 96 divisors (see below), whose sum is σ = 593823600. Its totient is φ = 89671680.

The previous prime is 232278391. The next prime is 232278419. The reversal of 232278400 is 4872232.

232278400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91549 + ... + 94051.

Almost surely, 2^232278400 is an apocalyptic number.

232278400 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 232278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296911800).

232278400 is an abundant number, since it is smaller than the sum of its proper divisors (361545200).

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

232278400 is a wasteful number, since it uses less digits than its factorization.

232278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 232278400 is about 15240.6823994203. The cubic root of 232278400 is about 614.7090522346.

The spelling of 232278400 in words is "two hundred thirty-two million, two hundred seventy-eight thousand, four hundred".