1304875008 has 364 divisors, whose sum is σ = 4297326240. Its totient is φ = 394149888.

The previous prime is 1304874997. The next prime is 1304875021. The reversal of 1304875008 is 8005784031.

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 (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 56733685 + ... + 56733707.

Almost surely, 2^1304875008 is an apocalyptic number.

1304875008 is a gapful number since it is divisible by the number (18) 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 1304875008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148663120).

1304875008 is an abundant number, since it is smaller than the sum of its proper divisors (2992451232).

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

1304875008 is an frugal number, since it uses more digits than its factorization.

1304875008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1304875008 is about 36123.0536915140. The cubic root of 1304875008 is about 1092.7554246406.

The spelling of 1304875008 in words is "one billion, three hundred four million, eight hundred seventy-five thousand, eight".