233482920 has 128 divisors (see below), whose sum is σ = 774144000. Its totient is φ = 55860480.

The previous prime is 233482903. The next prime is 233482927. The reversal of 233482920 is 29284332.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (233482927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103161 + ... + 105399.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2^233482920 is an apocalyptic number.

233482920 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 233482920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072000).

233482920 is an abundant number, since it is smaller than the sum of its proper divisors (540661080).

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

233482920 is a wasteful number, since it uses less digits than its factorization.

233482920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 233482920 is about 15280.1479050433. The cubic root of 233482920 is about 615.7697810082.

The spelling of 233482920 in words is "two hundred thirty-three million, four hundred eighty-two thousand, nine hundred twenty".