304480512 has 432 divisors, whose sum is σ = 1118476800. Its totient is φ = 81285120.

The previous prime is 304480471. The next prime is 304480531. The reversal of 304480512 is 215084403.

304480512 is a `hidden beast` number, since 30 + 44 + 80 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9821937 + ... + 9821967.

Almost surely, 2^304480512 is an apocalyptic number.

304480512 is a gapful number since it is divisible by the number (32) 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 304480512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559238400).

304480512 is an abundant number, since it is smaller than the sum of its proper divisors (813996288).

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

304480512 is a wasteful number, since it uses less digits than its factorization.

304480512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 304480512 is about 17449.3699599728. The cubic root of 304480512 is about 672.7491645000.

The spelling of 304480512 in words is "three hundred four million, four hundred eighty thousand, five hundred twelve".