1004460456 has 32 divisors (see below), whose sum is σ = 2527790400. Its totient is φ = 332601600.

The previous prime is 1004460451. The next prime is 1004460463. The reversal of 1004460456 is 6540644001.

It is not an unprimeable number, because it can be changed into a prime (1004460451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134961 + ... + 142208.

It is an arithmetic number, because the mean of its divisors is an integer number (78993450).

Almost surely, 2^1004460456 is an apocalyptic number.

It is an amenable number.

1004460456 is an abundant number, since it is smaller than the sum of its proper divisors (1523329944).

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

1004460456 is a wasteful number, since it uses less digits than its factorization.

1004460456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277329 (or 277325 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1004460456 is about 31693.2241338744. The cubic root of 1004460456 is about 1001.4846134987.

It can be divided in two parts, 10044 and 60456, that added together give a triangular number (70500 = T₃₇₅).

The spelling of 1004460456 in words is "one billion, four million, four hundred sixty thousand, four hundred fifty-six".