304880364 has 72 divisors (see below), whose sum is σ = 831972960. Its totient is φ = 93848832.

The previous prime is 304880357. The next prime is 304880369. The reversal of 304880364 is 463088403.

It is a super-3 number, since 3×304880364³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (304880369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17664 + ... + 30360.

It is an arithmetic number, because the mean of its divisors is an integer number (11555180).

Almost surely, 2^304880364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304880364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415986480).

304880364 is an abundant number, since it is smaller than the sum of its proper divisors (527092596).

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

304880364 is a wasteful number, since it uses less digits than its factorization.

304880364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12759 (or 12754 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 304880364 is about 17460.8236919110. The cubic root of 304880364 is about 673.0435264503.

The spelling of 304880364 in words is "three hundred four million, eight hundred eighty thousand, three hundred sixty-four".