233674272 has 108 divisors (see below), whose sum is σ = 719709354. Its totient is φ = 71884800.

The previous prime is 233674267. The next prime is 233674283. The reversal of 233674272 is 272476332.

233674272 is a `hidden beast` number, since 23 + 367 + 4 + 272 = 666.

233674272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 126427536 + 107246736 = 11244^2 + 10356^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46272 + ... + 51072.

Almost surely, 2^233674272 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 233674272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359854677).

233674272 is an abundant number, since it is smaller than the sum of its proper divisors (486035082).

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

233674272 is a wasteful number, since it uses less digits than its factorization.

233674272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4819 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 233674272 is about 15286.4080803830. The cubic root of 233674272 is about 615.9379540588.

The spelling of 233674272 in words is "two hundred thirty-three million, six hundred seventy-four thousand, two hundred seventy-two".