232842720 has 288 divisors, whose sum is σ = 852647040. Its totient is φ = 53222400.

The previous prime is 232842713. The next prime is 232842773. The reversal of 232842720 is 27248232.

232842720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103415 + ... + 1103625.

It is an arithmetic number, because the mean of its divisors is an integer number (2960580).

Almost surely, 2^232842720 is an apocalyptic number.

232842720 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 232842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426323520).

232842720 is an abundant number, since it is smaller than the sum of its proper divisors (619804320).

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

232842720 is a wasteful number, since it uses less digits than its factorization.

232842720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 232842720 is about 15259.1847750789. The cubic root of 232842720 is about 615.2064611856.

The spelling of 232842720 in words is "two hundred thirty-two million, eight hundred forty-two thousand, seven hundred twenty".