304944906240 has 864 divisors, whose sum is σ = 1178246802096. Its totient is φ = 72477573120.

The previous prime is 304944906179. The next prime is 304944906269. The reversal of 304944906240 is 42609449403.

304944906240 is a `hidden beast` number, since 30 + 4 + 94 + 490 + 6 + 2 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13448577024 + 291496329216 = 115968^2 + 539904^2 .

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, 3143761872 + ... + 3143761968.

Almost surely, 2^304944906240 is an apocalyptic number.

304944906240 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 304944906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589123401048).

304944906240 is an abundant number, since it is smaller than the sum of its proper divisors (873301895856).

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

304944906240 is an equidigital number, since it uses as much as digits as its factorization.

304944906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 304944906240 in words is "three hundred four billion, nine hundred forty-four million, nine hundred six thousand, two hundred forty".