331406244 has 144 divisors (see below), whose sum is σ = 951035904. Its totient is φ = 96595200.

The previous prime is 331406237. The next prime is 331406261. The reversal of 331406244 is 442604133.

331406244 is a `hidden beast` number, since 3 + 31 + 4 + 0 + 624 + 4 = 666.

331406244 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

331406244 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768709 + ... + 769139.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2^331406244 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 331406244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952).

331406244 is an abundant number, since it is smaller than the sum of its proper divisors (619629660).

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

331406244 is a wasteful number, since it uses less digits than its factorization.

331406244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 331406244 is about 18204.5665699571. The cubic root of 331406244 is about 692.0225220153.

The spelling of 331406244 in words is "three hundred thirty-one million, four hundred six thousand, two hundred forty-four".