232525920 has 192 divisors, whose sum is σ = 816915456. Its totient is φ = 55111680.

The previous prime is 232525901. The next prime is 232525963. The reversal of 232525920 is 29525232.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247692 + ... + 248628.

It is an arithmetic number, because the mean of its divisors is an integer number (4254768).

Almost surely, 2^232525920 is an apocalyptic number.

232525920 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 232525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408457728).

232525920 is an abundant number, since it is smaller than the sum of its proper divisors (584389536).

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

232525920 is a wasteful number, since it uses less digits than its factorization.

232525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1005 counting only the distinct ones).

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

The square root of 232525920 is about 15248.8006085725. The cubic root of 232525920 is about 614.9273230266.

The spelling of 232525920 in words is "two hundred thirty-two million, five hundred twenty-five thousand, nine hundred twenty".