233263440 has 120 divisors (see below), whose sum is σ = 789854208. Its totient is φ = 61689600.

The previous prime is 233263427. The next prime is 233263487. The reversal of 233263440 is 44362332.

It is a happy number.

233263440 is a `hidden beast` number, since 23 + 3 + 2 + 634 + 4 + 0 = 666.

233263440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90165 + ... + 92715.

Almost surely, 2^233263440 is an apocalyptic number.

233263440 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 233263440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394927104).

233263440 is an abundant number, since it is smaller than the sum of its proper divisors (556590768).

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

233263440 is a wasteful number, since it uses less digits than its factorization.

233263440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 233263440 is about 15272.9643488093. The cubic root of 233263440 is about 615.5767739971.

The spelling of 233263440 in words is "two hundred thirty-three million, two hundred sixty-three thousand, four hundred forty".