332800 has 66 divisors (see below), whose sum is σ = 888398. Its totient is φ = 122880.

The previous prime is 332791. The next prime is 332803. The reversal of 332800 is 8233.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 331776 = 32^2 + 576^2 .

It is a super-2 number, since 2×332800² = 221511680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332803) by changing a digit.

332800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25594 + ... + 25606.

2³³²⁸⁰⁰ 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 332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444199).

332800 is an abundant number, since it is smaller than the sum of its proper divisors (555598).

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

332800 is a wasteful number, since it uses less digits than its factorization.

332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 332800 is about 576.8882040742. Note that the first 3 decimals coincide. The cubic root of 332800 is about 69.2991284273.

The spelling of 332800 in words is "three hundred thirty-two thousand, eight hundred".