232820800 has 42 divisors (see below), whose sum is σ = 572888618. Its totient is φ = 93127680.

The previous prime is 232820773. The next prime is 232820801. The reversal of 232820800 is 8028232.

232820800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 14017536 + 218803264 = 3744^2 + 14792^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (232820801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71157 + ... + 74356.

Almost surely, 2^232820800 is an apocalyptic number.

232820800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232820800 is an abundant number, since it is smaller than the sum of its proper divisors (340067818).

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

232820800 is a wasteful number, since it uses less digits than its factorization.

232820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145535 (or 145520 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 232820800 is about 15258.4665022406. The cubic root of 232820800 is about 615.1871552369.

The spelling of 232820800 in words is "two hundred thirty-two million, eight hundred twenty thousand, eight hundred".