233952048 has 180 divisors, whose sum is σ = 746098080. Its totient is φ = 68302080.

The previous prime is 233952031. The next prime is 233952049. The reversal of 233952048 is 840259332.

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

It is not an unprimeable number, because it can be changed into a prime (233952049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505065 + ... + 505527.

Almost surely, 2^233952048 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 233952048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373049040).

233952048 is an abundant number, since it is smaller than the sum of its proper divisors (512146032).

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

233952048 is a wasteful number, since it uses less digits than its factorization.

233952048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 233952048 is about 15295.4911003210. The cubic root of 233952048 is about 616.1819190589.

The spelling of 233952048 in words is "two hundred thirty-three million, nine hundred fifty-two thousand, forty-eight".