330086400 has 288 divisors, whose sum is σ = 1251169920. Its totient is φ = 75202560.

The previous prime is 330086369. The next prime is 330086413. The reversal of 330086400 is 4680033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075047 + ... + 1075353.

It is an arithmetic number, because the mean of its divisors is an integer number (4344340).

Almost surely, 2^330086400 is an apocalyptic number.

330086400 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 330086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625584960).

330086400 is an abundant number, since it is smaller than the sum of its proper divisors (921083520).

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

330086400 is a wasteful number, since it uses less digits than its factorization.

330086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 330086400 is about 18168.2800506817. The cubic root of 330086400 is about 691.1026268867.

The spelling of 330086400 in words is "three hundred thirty million, eighty-six thousand, four hundred".