233480307204 has 81 divisors (see below), whose sum is σ = 611459539327. Its totient is φ = 75116028288.

The previous prime is 233480307191. The next prime is 233480307227. The reversal of 233480307204 is 402703084332.

The square root of 233480307204 is 483198.

It is a perfect power (a square), and thus also a powerful number.

233480307204 is a `hidden beast` number, since 2 + 3 + 348 + 0 + 307 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28314792900 + 205165514304 = 168270^2 + 452952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84075064 + ... + 84077840.

Almost surely, 2^233480307204 is an apocalyptic number.

233480307204 is the 483198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233480307204

233480307204 is an abundant number, since it is smaller than the sum of its proper divisors (377979232123).

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

233480307204 is an equidigital number, since it uses as much as digits as its factorization.

233480307204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 233480307204 by its sum of digits (36), we get a square (8405291059344 = 2899188²).

233480307204 divided by its sum of digits (36) gives a square (6485564089 = 80533²).

The spelling of 233480307204 in words is "two hundred thirty-three billion, four hundred eighty million, three hundred seven thousand, two hundred four".