1304921904 has 320 divisors, whose sum is σ = 4292725248. Its totient is φ = 335462400.

The previous prime is 1304921867. The next prime is 1304921927. The reversal of 1304921904 is 4091294031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6184359 + ... + 6184569.

Almost surely, 2^1304921904 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 1304921904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146362624).

1304921904 is an abundant number, since it is smaller than the sum of its proper divisors (2987803344).

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

1304921904 is a wasteful number, since it uses less digits than its factorization.

1304921904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1304921904 is about 36123.7028002391. The cubic root of 1304921904 is about 1092.7685153566.

The spelling of 1304921904 in words is "one billion, three hundred four million, nine hundred twenty-one thousand, nine hundred four".