1304056400 has 60 divisors (see below), whose sum is σ = 3317306652. Its totient is φ = 490936320.

The previous prime is 1304056363. The next prime is 1304056423. The reversal of 1304056400 is 46504031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 21270544 + 1282785856 = 4612^2 + 35816^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89087 + ... + 102686.

Almost surely, 2^1304056400 is an apocalyptic number.

1304056400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304056400 is an abundant number, since it is smaller than the sum of its proper divisors (2013250252).

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

1304056400 is a wasteful number, since it uses less digits than its factorization.

1304056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191808 (or 191797 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1304056400 is about 36111.7210888653. The cubic root of 1304056400 is about 1092.5268649563.

The spelling of 1304056400 in words is "one billion, three hundred four million, fifty-six thousand, four hundred".