304879680 has 336 divisors, whose sum is σ = 1246753920. Its totient is φ = 68705280.

The previous prime is 304879669. The next prime is 304879693. The reversal of 304879680 is 86978403.

It is a happy number.

304879680 is a `hidden beast` number, since 3 + 0 + 487 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4294045 + ... + 4294115.

Almost surely, 2^304879680 is an apocalyptic number.

304879680 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 304879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623376960).

304879680 is an abundant number, since it is smaller than the sum of its proper divisors (941874240).

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

304879680 is an equidigital number, since it uses as much as digits as its factorization.

304879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 304879680 is about 17460.8041051952. The cubic root of 304879680 is about 673.0430231249.

It can be divided in two parts, 3048 and 79680, that added together give a palindrome (82728).

The spelling of 304879680 in words is "three hundred four million, eight hundred seventy-nine thousand, six hundred eighty".