330451968 has 264 divisors, whose sum is σ = 1115140096. Its totient is φ = 85155840.

The previous prime is 330451949. The next prime is 330451969. The reversal of 330451968 is 869154033.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (330451969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2601921 + ... + 2602047.

Almost surely, 2^330451968 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 330451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557570048).

330451968 is an abundant number, since it is smaller than the sum of its proper divisors (784688128).

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

330451968 is a wasteful number, since it uses less digits than its factorization.

330451968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 330451968 is about 18178.3378778149. The cubic root of 330451968 is about 691.3576629369.

The spelling of 330451968 in words is "three hundred thirty million, four hundred fifty-one thousand, nine hundred sixty-eight".