1304661456 has 90 divisors (see below), whose sum is σ = 4247383842. Its totient is φ = 372758400.

The previous prime is 1304661431. The next prime is 1304661469. The reversal of 1304661456 is 6541664031.

It is a happy number.

1304661456 is a `hidden beast` number, since 1 + 30 + 4 + 6 + 614 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1304654400 + 7056 = 36120^2 + 84^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1304661456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85395 + ... + 99506.

Almost surely, 2^1304661456 is an apocalyptic number.

1304661456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1304661456 is an abundant number, since it is smaller than the sum of its proper divisors (2942722386).

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

1304661456 is a wasteful number, since it uses less digits than its factorization.

1304661456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184929 (or 184913 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1304661456 is about 36120.0976742865. The cubic root of 1304661456 is about 1092.6958090103.

The spelling of 1304661456 in words is "one billion, three hundred four million, six hundred sixty-one thousand, four hundred fifty-six".