330456672 has 288 divisors, whose sum is σ = 1202003712. Its totient is φ = 86966784.

The previous prime is 330456661. The next prime is 330456691. The reversal of 330456672 is 276654033.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×330456672² = 218403224138631168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 707383 + ... + 707849.

It is an arithmetic number, because the mean of its divisors is an integer number (4173624).

Almost surely, 2^330456672 is an apocalyptic number.

330456672 is a gapful number since it is divisible by the number (32) 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 330456672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601001856).

330456672 is an abundant number, since it is smaller than the sum of its proper divisors (871547040).

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

330456672 is a wasteful number, since it uses less digits than its factorization.

330456672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 330456672 is about 18178.4672621209. The cubic root of 330456672 is about 691.3609434248.

The spelling of 330456672 in words is "three hundred thirty million, four hundred fifty-six thousand, six hundred seventy-two".