331216800 has 72 divisors (see below), whose sum is σ = 1078118496. Its totient is φ = 88323840.

The previous prime is 331216783. The next prime is 331216829. The reversal of 331216800 is 8612133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66604 + ... + 71403.

It is an arithmetic number, because the mean of its divisors is an integer number (14973868).

Almost surely, 2^331216800 is an apocalyptic number.

331216800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331216800 is an abundant number, since it is smaller than the sum of its proper divisors (746901696).

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

331216800 is a wasteful number, since it uses less digits than its factorization.

331216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138030 (or 138017 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 331216800 is about 18199.3626262021. The cubic root of 331216800 is about 691.8906350383.

Adding to 331216800 its reverse (8612133), we get a palindrome (339828933).

The spelling of 331216800 in words is "three hundred thirty-one million, two hundred sixteen thousand, eight hundred".