331674400 has 72 divisors (see below), whose sum is σ = 823541040. Its totient is φ = 130402560.

The previous prime is 331674383. The next prime is 331674407. The reversal of 331674400 is 4476133.

It is a super-2 number, since 2×331674400² = 220015815230720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331674407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43687 + ... + 50713.

It is an arithmetic number, because the mean of its divisors is an integer number (11438070).

Almost surely, 2^331674400 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 331674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411770520).

331674400 is an abundant number, since it is smaller than the sum of its proper divisors (491866640).

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

331674400 is a wasteful number, since it uses less digits than its factorization.

331674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106 (or 7093 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 331674400 is about 18211.9301558072. The cubic root of 331674400 is about 692.2091207554.

The spelling of 331674400 in words is "three hundred thirty-one million, six hundred seventy-four thousand, four hundred".