456206881 has 27 divisors (see below), whose sum is σ = 520261497. Its totient is φ = 399840480.

The previous prime is 456206831. The next prime is 456206893. The reversal of 456206881 is 188602654.

The square root of 456206881 is 21359.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11840481 + 444366400 = 3441^2 + 21080^2 .

It is not a de Polignac number, because 456206881 - 2⁷ = 456206753 is a prime.

It is a super-2 number, since 2×456206881² = 416249436543496322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456206831) 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, 8607651 + ... + 8607703.

Almost surely, 2^456206881 is an apocalyptic number.

456206881 is the 21359-th square number.

456206881 is the 10680-th centered octagonal number.

It is an amenable number.

456206881 is a deficient number, since it is larger than the sum of its proper divisors (64054616).

456206881 is an equidigital number, since it uses as much as digits as its factorization.

456206881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The cubic root of 456206881 is about 769.8166094991.

The spelling of 456206881 in words is "four hundred fifty-six million, two hundred six thousand, eight hundred eighty-one".