332985744 has 120 divisors (see below), whose sum is σ = 1146996032. Its totient is φ = 87816960.

The previous prime is 332985733. The next prime is 332985767. The reversal of 332985744 is 447589233.

332985744 = 137² + 138² + ... + 1000².

332985744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×332985744² = 221759011414467072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332985744.

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, 399 + ... + 25809.

Almost surely, 2^332985744 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 332985744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573498016).

332985744 is an abundant number, since it is smaller than the sum of its proper divisors (814010288).

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

332985744 is a wasteful number, since it uses less digits than its factorization.

332985744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25445 (or 25436 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 332985744 is about 18247.8969747201. The cubic root of 332985744 is about 693.1201855482.

Subtracting from 332985744 its product of digits (725760), we obtain a square (332259984 = 18228²).

The spelling of 332985744 in words is "three hundred thirty-two million, nine hundred eighty-five thousand, seven hundred forty-four".