233244864 has 84 divisors (see below), whose sum is σ = 670675824. Its totient is φ = 77501952.

The previous prime is 233244853. The next prime is 233244871. The reversal of 233244864 is 468442332.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320469 + ... + 321195.

It is an arithmetic number, because the mean of its divisors is an integer number (7984236).

Almost surely, 2^233244864 is an apocalyptic number.

233244864 is a gapful number since it is divisible by the number (24) 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 233244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335337912).

233244864 is an abundant number, since it is smaller than the sum of its proper divisors (437430960).

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

233244864 is a wasteful number, since it uses less digits than its factorization.

233244864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1289 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 233244864 is about 15272.3562032844. The cubic root of 233244864 is about 615.5604330199.

The spelling of 233244864 in words is "two hundred thirty-three million, two hundred forty-four thousand, eight hundred sixty-four".