233864904 has 96 divisors (see below), whose sum is σ = 723625920. Its totient is φ = 61671168.

The previous prime is 233864879. The next prime is 233864921. The reversal of 233864904 is 409468332.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 24274 + ... + 32510.

It is an arithmetic number, because the mean of its divisors is an integer number (7537770).

Almost surely, 2^233864904 is an apocalyptic number.

233864904 is a gapful number since it is divisible by the number (24) 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 233864904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361812960).

233864904 is an abundant number, since it is smaller than the sum of its proper divisors (489761016).

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

233864904 is a wasteful number, since it uses less digits than its factorization.

233864904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8279 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 233864904 is about 15292.6421523555. The cubic root of 233864904 is about 616.1054030576.

The spelling of 233864904 in words is "two hundred thirty-three million, eight hundred sixty-four thousand, nine hundred four".