1304872704 has 216 divisors, whose sum is σ = 3902895360. Its totient is φ = 419088384.

The previous prime is 1304872697. The next prime is 1304872721. The reversal of 1304872704 is 4072784031.

It is a happy number.

1304872704 is a `hidden beast` number, since 1 + 304 + 87 + 270 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12195019 + ... + 12195125.

It is an arithmetic number, because the mean of its divisors is an integer number (18068960).

Almost surely, 2^1304872704 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 1304872704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951447680).

1304872704 is an abundant number, since it is smaller than the sum of its proper divisors (2598022656).

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

1304872704 is a wasteful number, since it uses less digits than its factorization.

1304872704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1304872704 is about 36123.0218005083. The cubic root of 1304872704 is about 1092.7547814858.

The spelling of 1304872704 in words is "one billion, three hundred four million, eight hundred seventy-two thousand, seven hundred four".