232529520 has 80 divisors (see below), whose sum is σ = 722810880. Its totient is φ = 61838592.

The previous prime is 232529513. The next prime is 232529533. The reversal of 232529520 is 25925232.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 104257 + ... + 106463.

It is an arithmetic number, because the mean of its divisors is an integer number (9035136).

Almost surely, 2^232529520 is an apocalyptic number.

232529520 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 232529520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361405440).

232529520 is an abundant number, since it is smaller than the sum of its proper divisors (490281360).

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

232529520 is a wasteful number, since it uses less digits than its factorization.

232529520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 232529520 is about 15248.9186501863. The cubic root of 232529520 is about 614.9304964749.

The spelling of 232529520 in words is "two hundred thirty-two million, five hundred twenty-nine thousand, five hundred twenty".