456252461 has 16 divisors (see below), whose sum is σ = 538783488. Its totient is φ = 378268800.

The previous prime is 456252457. The next prime is 456252479. The reversal of 456252461 is 164252654.

It is not a de Polignac number, because 456252461 - 2² = 456252457 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 (456252431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17681 + ... + 35001.

It is an arithmetic number, because the mean of its divisors is an integer number (33673968).

Almost surely, 2^456252461 is an apocalyptic number.

It is an amenable number.

456252461 is a deficient number, since it is larger than the sum of its proper divisors (82531027).

456252461 is a wasteful number, since it uses less digits than its factorization.

456252461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17452.

The product of its digits is 57600, while the sum is 35.

The square root of 456252461 is about 21360.0669708688. The cubic root of 456252461 is about 769.8422463129.

The spelling of 456252461 in words is "four hundred fifty-six million, two hundred fifty-two thousand, four hundred sixty-one".