233954320 has 40 divisors (see below), whose sum is σ = 548250624. Its totient is φ = 92840832.

The previous prime is 233954309. The next prime is 233954327. The reversal of 233954320 is 23459332.

233954320 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 (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (233954327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1354 + ... + 21673.

Almost surely, 2^233954320 is an apocalyptic number.

233954320 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 233954320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274125312).

233954320 is an abundant number, since it is smaller than the sum of its proper divisors (314296304).

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

233954320 is a wasteful number, since it uses less digits than its factorization.

233954320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23167 (or 23161 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 233954320 is about 15295.5653703941. The cubic root of 233954320 is about 616.1839137138.

The spelling of 233954320 in words is "two hundred thirty-three million, nine hundred fifty-four thousand, three hundred twenty".