456622461 has 16 divisors (see below), whose sum is σ = 692211520. Its totient is φ = 297334800.

The previous prime is 456622457. The next prime is 456622477. The reversal of 456622461 is 164226654.

It is not a de Polignac number, because 456622461 - 2² = 456622457 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456622451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195490 + ... + 197811.

It is an arithmetic number, because the mean of its divisors is an integer number (43263220).

Almost surely, 2^456622461 is an apocalyptic number.

It is an amenable number.

456622461 is a deficient number, since it is larger than the sum of its proper divisors (235589059).

456622461 is a wasteful number, since it uses less digits than its factorization.

456622461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393353 (or 393347 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 456622461 is about 21368.7262371906. The cubic root of 456622461 is about 770.0502924367.

The spelling of 456622461 in words is "four hundred fifty-six million, six hundred twenty-two thousand, four hundred sixty-one".