332800000 has 168 divisors, whose sum is σ = 895887972. Its totient is φ = 122880000.

The previous prime is 332799983. The next prime is 332800009. The reversal of 332800000 is 8233.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 90935296 + 241864704 = 9536^2 + 15552^2 .

It is a super-2 number, since 2×332800000² = 221511680000000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (332800009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25599994 + ... + 25600006.

Almost surely, 2^332800000 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 332800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447943986).

332800000 is an abundant number, since it is smaller than the sum of its proper divisors (563087972).

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

332800000 is an frugal number, since it uses more digits than its factorization.

332800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 20 counting only the distinct ones).

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

The square root of 332800000 is about 18242.8068015862. The cubic root of 332800000 is about 692.9912842727.

Adding to 332800000 its reverse (8233), we get a palindrome (332808233).

The spelling of 332800000 in words is "three hundred thirty-two million, eight hundred thousand".