456136461 has 16 divisors (see below), whose sum is σ = 737190720. Its totient is φ = 276446160.

The previous prime is 456136453. The next prime is 456136487. The reversal of 456136461 is 164631654.

It is a happy number.

456136461 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 3 + 646 + 1 = 666.

It is not a de Polignac number, because 456136461 - 2³ = 456136453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456136451) 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 15 ways as a sum of consecutive naturals, for example, 767610 + ... + 768203.

It is an arithmetic number, because the mean of its divisors is an integer number (46074420).

Almost surely, 2^456136461 is an apocalyptic number.

It is an amenable number.

456136461 is a deficient number, since it is larger than the sum of its proper divisors (281054259).

456136461 is a wasteful number, since it uses less digits than its factorization.

456136461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535833 (or 1535827 counting only the distinct ones).

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

The square root of 456136461 is about 21357.3514509641. The cubic root of 456136461 is about 769.7769978832.

The spelling of 456136461 in words is "four hundred fifty-six million, one hundred thirty-six thousand, four hundred sixty-one".