332400 has 60 divisors (see below), whose sum is σ = 1068632. Its totient is φ = 88320.

The previous prime is 332399. The next prime is 332411. The reversal of 332400 is 4233.

332400 = 86² + 87² + ... + 117².

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×332400² = 220979520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 332400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1062 + ... + 1338.

2³³²⁴⁰⁰ is an apocalyptic number.

332400 is a gapful number since it is divisible by the number (30) 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 332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534316).

332400 is an abundant number, since it is smaller than the sum of its proper divisors (736232).

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

332400 is a wasteful number, since it uses less digits than its factorization.

332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 332400 is about 576.5414122160. The cubic root of 332400 is about 69.2713532225.

Adding to 332400 its reverse (4233), we get a palindrome (336633).

The spelling of 332400 in words is "three hundred thirty-two thousand, four hundred".