330968400 has 360 divisors, whose sum is σ = 1282542912. Its totient is φ = 71424000.

The previous prime is 330968317. The next prime is 330968419. The reversal of 330968400 is 4869033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8072380 + ... + 8072420.

Almost surely, 2^330968400 is an apocalyptic number.

330968400 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 330968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641271456).

330968400 is an abundant number, since it is smaller than the sum of its proper divisors (951574512).

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

330968400 is a wasteful number, since it uses less digits than its factorization.

330968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 330968400 is about 18192.5369313903. The cubic root of 330968400 is about 691.7176278962.

The spelling of 330968400 in words is "three hundred thirty million, nine hundred sixty-eight thousand, four hundred".