456453261 has 36 divisors (see below), whose sum is σ = 727390300. Its totient is φ = 275616000.

The previous prime is 456453229. The next prime is 456453311. The reversal of 456453261 is 162354654.

456453261 is a `hidden beast` number, since 4 + 5 + 64 + 532 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118592100 + 337861161 = 10890^2 + 18381^2 .

It is not a de Polignac number, because 456453261 - 2⁵ = 456453229 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456453211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 379461 + ... + 380661.

Almost surely, 2^456453261 is an apocalyptic number.

It is an amenable number.

456453261 is a deficient number, since it is larger than the sum of its proper divisors (270937039).

456453261 is a wasteful number, since it uses less digits than its factorization.

456453261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1564 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 456453261 is about 21364.7668136116. The cubic root of 456453261 is about 769.9551674577.

The spelling of 456453261 in words is "four hundred fifty-six million, four hundred fifty-three thousand, two hundred sixty-one".