331053444 has 144 divisors (see below), whose sum is σ = 957640320. Its totient is φ = 95800320.

The previous prime is 331053419. The next prime is 331053449. The reversal of 331053444 is 444350133.

331053444 is a `hidden beast` number, since 3 + 310 + 5 + 344 + 4 = 666.

It is a super-2 number, since 2×331053444² = 219192765568522272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331053449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407799 + ... + 408609.

It is an arithmetic number, because the mean of its divisors is an integer number (6650280).

Almost surely, 2^331053444 is an apocalyptic number.

331053444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331053444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478820160).

331053444 is an abundant number, since it is smaller than the sum of its proper divisors (626586876).

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

331053444 is a wasteful number, since it uses less digits than its factorization.

331053444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 331053444 is about 18194.8741133320. The cubic root of 331053444 is about 691.7768696004.

The spelling of 331053444 in words is "three hundred thirty-one million, fifty-three thousand, four hundred forty-four".