330200400 has 60 divisors (see below), whose sum is σ = 1057745792. Its totient is φ = 88053120.

The previous prime is 330200393. The next prime is 330200447. The reversal of 330200400 is 4002033.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136384 + ... + 138783.

Almost surely, 2^330200400 is an apocalyptic number.

330200400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330200400 is an abundant number, since it is smaller than the sum of its proper divisors (727545392).

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

330200400 is a wasteful number, since it uses less digits than its factorization.

330200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275188 (or 275177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 330200400 is about 18171.4171158994. The cubic root of 330200400 is about 691.1821784135.

Adding to 330200400 its reverse (4002033), we get a palindrome (334202433).

The spelling of 330200400 in words is "three hundred thirty million, two hundred thousand, four hundred".