304740864 has 120 divisors (see below), whose sum is σ = 901512612. Its totient is φ = 99041280.

The previous prime is 304740851. The next prime is 304740883. The reversal of 304740864 is 468047403.

It can be written as a sum of positive squares in 2 ways, for example, as 290361600 + 14379264 = 17040^2 + 3792^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 188122 + ... + 189734.

Almost surely, 2^304740864 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 304740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450756306).

304740864 is an abundant number, since it is smaller than the sum of its proper divisors (596771748).

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

304740864 is a wasteful number, since it uses less digits than its factorization.

304740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 304740864 is about 17456.8285779520. The cubic root of 304740864 is about 672.9408589709.

The spelling of 304740864 in words is "three hundred four million, seven hundred forty thousand, eight hundred sixty-four".