331890720 has 288 divisors, whose sum is σ = 1236912768. Its totient is φ = 74575872.

The previous prime is 331890697. The next prime is 331890739. The reversal of 331890720 is 27098133.

It is a super-2 number, since 2×331890720² = 220302900044236800, which contains 22 as substring.

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, 2422492 + ... + 2422628.

It is an arithmetic number, because the mean of its divisors is an integer number (4294836).

Almost surely, 2^331890720 is an apocalyptic number.

331890720 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 331890720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618456384).

331890720 is an abundant number, since it is smaller than the sum of its proper divisors (905022048).

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

331890720 is a wasteful number, since it uses less digits than its factorization.

331890720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 331890720 is about 18217.8681518997. The cubic root of 331890720 is about 692.3595756748.

The spelling of 331890720 in words is "three hundred thirty-one million, eight hundred ninety thousand, seven hundred twenty".