304496640 has 360 divisors, whose sum is σ = 1226796480. Its totient is φ = 68419584.

The previous prime is 304496617. The next prime is 304496653. The reversal of 304496640 is 46694403.

304496640 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 9 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 304496595 and 304496604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160931 + ... + 5160989.

It is an arithmetic number, because the mean of its divisors is an integer number (3407768).

Almost surely, 2^304496640 is an apocalyptic number.

304496640 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 304496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613398240).

304496640 is an abundant number, since it is smaller than the sum of its proper divisors (922299840).

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

304496640 is an equidigital number, since it uses as much as digits as its factorization.

304496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 304496640 is about 17449.8320908827. The cubic root of 304496640 is about 672.7610425530.

The spelling of 304496640 in words is "three hundred four million, four hundred ninety-six thousand, six hundred forty".