332314400 has 108 divisors (see below), whose sum is σ = 891978066. Its totient is φ = 120806400.

The previous prime is 332314391. The next prime is 332314403. The reversal of 332314400 is 4413233.

It can be written as a sum of positive squares in 3 ways, for example, as 219869584 + 112444816 = 14828^2 + 10604^2 .

It is a super-2 number, since 2×332314400² = 220865720894720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (332314403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95084 + ... + 98516.

Almost surely, 2^332314400 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 332314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445989033).

332314400 is an abundant number, since it is smaller than the sum of its proper divisors (559663666).

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

332314400 is a wasteful number, since it uses less digits than its factorization.

332314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 332314400 is about 18229.4925875626. The cubic root of 332314400 is about 692.6540643461.

Adding to 332314400 its reverse (4413233), we get a palindrome (336727633).

The spelling of 332314400 in words is "three hundred thirty-two million, three hundred fourteen thousand, four hundred".