331864401 has 24 divisors (see below), whose sum is σ = 507528000. Its totient is φ = 192380320.

The previous prime is 331864391. The next prime is 331864409. The reversal of 331864401 is 104468133.

It is not a de Polignac number, because 331864401 - 2⁵ = 331864369 is a prime.

It is a super-2 number, since 2×331864401² = 220267961302177602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331864409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11526 + ... + 28223.

It is an arithmetic number, because the mean of its divisors is an integer number (21147000).

Almost surely, 2^331864401 is an apocalyptic number.

It is an amenable number.

331864401 is a deficient number, since it is larger than the sum of its proper divisors (175663599).

331864401 is a wasteful number, since it uses less digits than its factorization.

331864401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39797 (or 39786 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 331864401 is about 18217.1457972977. The cubic root of 331864401 is about 692.3412737737.

The spelling of 331864401 in words is "three hundred thirty-one million, eight hundred sixty-four thousand, four hundred one".