233705472 has 416 divisors, whose sum is σ = 880696320. Its totient is φ = 53084160.

The previous prime is 233705429. The next prime is 233705489. The reversal of 233705472 is 274507332.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12300279 + ... + 12300297.

Almost surely, 2^233705472 is an apocalyptic number.

233705472 is a gapful number since it is divisible by the number (22) 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 233705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440348160).

233705472 is an abundant number, since it is smaller than the sum of its proper divisors (646990848).

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

233705472 is a wasteful number, since it uses less digits than its factorization.

233705472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 233705472 is about 15287.4285607489. The cubic root of 233705472 is about 615.9653660181.

The spelling of 233705472 in words is "two hundred thirty-three million, seven hundred five thousand, four hundred seventy-two".