330457968 has 200 divisors, whose sum is σ = 1035456048. Its totient is φ = 101357568.

The previous prime is 330457957. The next prime is 330457973. The reversal of 330457968 is 869754033.

It is a super-2 number, since 2×330457968² = 218404937229378048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1167555 + ... + 1167837.

Almost surely, 2^330457968 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 330457968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517728024).

330457968 is an abundant number, since it is smaller than the sum of its proper divisors (704998080).

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

330457968 is a wasteful number, since it uses less digits than its factorization.

330457968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 330457968 is about 18178.5029086556. The cubic root of 330457968 is about 691.3618472272.

The spelling of 330457968 in words is "three hundred thirty million, four hundred fifty-seven thousand, nine hundred sixty-eight".