331968400 has 45 divisors (see below), whose sum is σ = 798430513. Its totient is φ = 132641600.

The previous prime is 331968383. The next prime is 331968409. The reversal of 331968400 is 4869133.

The square root of 331968400 is 18220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 119508624 + 212459776 = 10932^2 + 14576^2 .

It is a super-2 number, since 2×331968400² = 220406037197120000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331968409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 363945 + ... + 364855.

Almost surely, 2^331968400 is an apocalyptic number.

331968400 is the 18220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331968400

331968400 is an abundant number, since it is smaller than the sum of its proper divisors (466462113).

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

331968400 is an frugal number, since it uses more digits than its factorization.

331968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The cubic root of 331968400 is about 692.4135877267.

The spelling of 331968400 in words is "three hundred thirty-one million, nine hundred sixty-eight thousand, four hundred".