233425920 has 352 divisors, whose sum is σ = 924392448. Its totient is φ = 48955392.

The previous prime is 233425909. The next prime is 233425921. The reversal of 233425920 is 29524332.

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

It is not an unprimeable number, because it can be changed into a prime (233425921) 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, 1397677 + ... + 1397843.

Almost surely, 2^233425920 is an apocalyptic number.

233425920 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 233425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462196224).

233425920 is an abundant number, since it is smaller than the sum of its proper divisors (690966528).

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

233425920 is a wasteful number, since it uses less digits than its factorization.

233425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 233425920 is about 15278.2826260022. The cubic root of 233425920 is about 615.7196678006.

The spelling of 233425920 in words is "two hundred thirty-three million, four hundred twenty-five thousand, nine hundred twenty".