330494976 has 264 divisors, whose sum is σ = 1124048640. Its totient is φ = 91570176.

The previous prime is 330494971. The next prime is 330494993. The reversal of 330494976 is 679494033.

It is a super-2 number, since 2×330494976² = 218453858322481152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330494971) 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, 3032010 + ... + 3032118.

It is an arithmetic number, because the mean of its divisors is an integer number (4257760).

Almost surely, 2^330494976 is an apocalyptic number.

330494976 is a gapful number since it is divisible by the number (36) 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 330494976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562024320).

330494976 is an abundant number, since it is smaller than the sum of its proper divisors (793553664).

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

330494976 is a wasteful number, since it uses less digits than its factorization.

330494976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 330494976 is about 18179.5207857633. The cubic root of 330494976 is about 691.3876548101.

It can be divided in two parts, 33049 and 4976, that added together give a square (38025 = 195²).

The spelling of 330494976 in words is "three hundred thirty million, four hundred ninety-four thousand, nine hundred seventy-six".