456044453460 has 36 divisors (see below), whose sum is σ = 1383334842708. Its totient is φ = 121611854208.

The previous prime is 456044453429. The next prime is 456044453471. The reversal of 456044453460 is 64354440654.

456044453460 is a `hidden beast` number, since 4 + 5 + 604 + 4 + 4 + 5 + 34 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 265402189584 + 190642263876 = 515172^2 + 436626^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1266789969 + ... + 1266790328.

It is an arithmetic number, because the mean of its divisors is an integer number (38425967853).

Almost surely, 2^456044453460 is an apocalyptic number.

It is an amenable number.

456044453460 is an abundant number, since it is smaller than the sum of its proper divisors (927290389248).

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

456044453460 is a wasteful number, since it uses less digits than its factorization.

456044453460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533580312 (or 2533580307 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

It can be divided in two parts, 4560444 and 53460, that added together give a square (4613904 = 2148²).

The spelling of 456044453460 in words is "four hundred fifty-six billion, forty-four million, four hundred fifty-three thousand, four hundred sixty".