233799552 has 192 divisors, whose sum is σ = 780748800. Its totient is φ = 65774592.

The previous prime is 233799497. The next prime is 233799563. The reversal of 233799552 is 255997332.

233799552 is a `hidden beast` number, since 2 + 3 + 3 + 7 + 99 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 233799498 and 233799507.

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, 636873 + ... + 637239.

It is an arithmetic number, because the mean of its divisors is an integer number (4066400).

Almost surely, 2^233799552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233799552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390374400).

233799552 is an abundant number, since it is smaller than the sum of its proper divisors (546949248).

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

233799552 is a wasteful number, since it uses less digits than its factorization.

233799552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 458 counting only the distinct ones).

The product of its digits is 510300, while the sum is 45.

The square root of 233799552 is about 15290.5052892310. The cubic root of 233799552 is about 616.0480088517.

The spelling of 233799552 in words is "two hundred thirty-three million, seven hundred ninety-nine thousand, five hundred fifty-two".