1304087040 has 400 divisors, whose sum is σ = 4931514720. Its totient is φ = 328458240.

The previous prime is 1304087039. The next prime is 1304087047. The reversal of 1304087040 is 407804031.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1304086995 and 1304087013.

It is not an unprimeable number, because it can be changed into a prime (1304087047) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3939675 + ... + 3940005.

Almost surely, 2^1304087040 is an apocalyptic number.

1304087040 is a gapful number since it is divisible by the number (10) 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 1304087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465757360).

1304087040 is an abundant number, since it is smaller than the sum of its proper divisors (3627427680).

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

1304087040 is an equidigital number, since it uses as much as digits as its factorization.

1304087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1304087040 is about 36112.1453253611. The cubic root of 1304087040 is about 1092.5354215292.

The spelling of 1304087040 in words is "one billion, three hundred four million, eighty-seven thousand, forty".