456805129 has 27 divisors (see below), whose sum is σ = 527896551. Its totient is φ = 394973040.

The previous prime is 456805091. The next prime is 456805133. The reversal of 456805129 is 921508654.

The square root of 456805129 is 21373.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 239537529 + 217267600 = 15477^2 + 14740^2 .

It is not a de Polignac number, because 456805129 - 2²¹ = 454707977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456805091 and 456805100.

It is not an unprimeable number, because it can be changed into a prime (456205129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6817954 + ... + 6818020.

Almost surely, 2^456805129 is an apocalyptic number.

456805129 is the 21373-rd square number.

456805129 is the 10687-th centered octagonal number.

It is an amenable number.

456805129 is a deficient number, since it is larger than the sum of its proper divisors (71091422).

456805129 is an equidigital number, since it uses as much as digits as its factorization.

456805129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The cubic root of 456805129 is about 770.1529628087.

The spelling of 456805129 in words is "four hundred fifty-six million, eight hundred five thousand, one hundred twenty-nine".