332405824 has 63 divisors (see below), whose sum is σ = 688296693. Its totient is φ = 159274752.

The previous prime is 332405809. The next prime is 332405831. The reversal of 332405824 is 428504233.

The square root of 332405824 is 18232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 239630400 + 92775424 = 15480^2 + 9632^2 .

It is a super-2 number, since 2×332405824² = 220987263658237952, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6271782 + ... + 6271834.

Almost surely, 2^332405824 is an apocalyptic number.

332405824 is the 18232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332405824

332405824 is an abundant number, since it is smaller than the sum of its proper divisors (355890869).

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

332405824 is an frugal number, since it uses more digits than its factorization.

332405824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The cubic root of 332405824 is about 692.7175778931.

The spelling of 332405824 in words is "three hundred thirty-two million, four hundred five thousand, eight hundred twenty-four".