331561440 has 432 divisors, whose sum is σ = 1362396672. Its totient is φ = 73156608.

The previous prime is 331561367. The next prime is 331561463. The reversal of 331561440 is 44165133.

331561440 is a `hidden beast` number, since 3 + 3 + 1 + 5 + 614 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2610657 + ... + 2610783.

It is an arithmetic number, because the mean of its divisors is an integer number (3153696).

Almost surely, 2^331561440 is an apocalyptic number.

331561440 is a gapful number since it is divisible by the number (30) 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 331561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681198336).

331561440 is an abundant number, since it is smaller than the sum of its proper divisors (1030835232).

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

331561440 is a wasteful number, since it uses less digits than its factorization.

331561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 331561440 is about 18208.8286278937. The cubic root of 331561440 is about 692.1305287983.

It can be divided in two parts, 33156 and 1440, that added together give a square (34596 = 186²).

The spelling of 331561440 in words is "three hundred thirty-one million, five hundred sixty-one thousand, four hundred forty".