456684849 has 12 divisors (see below), whose sum is σ = 688336896. Its totient is φ = 291219192.

The previous prime is 456684847. The next prime is 456684863. The reversal of 456684849 is 948486654.

It is not a de Polignac number, because 456684849 - 2¹ = 456684847 is a prime.

It is a super-2 number, since 2×456684849² = 417122102612305602, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456684795 and 456684804.

It is not an unprimeable number, because it can be changed into a prime (456684847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1102897 + ... + 1103310.

It is an arithmetic number, because the mean of its divisors is an integer number (57361408).

Almost surely, 2^456684849 is an apocalyptic number.

It is an amenable number.

456684849 is a deficient number, since it is larger than the sum of its proper divisors (231652047).

456684849 is a wasteful number, since it uses less digits than its factorization.

456684849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206236 (or 2206233 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 456684849 is about 21370.1859842164. The cubic root of 456684849 is about 770.0853613130.

The spelling of 456684849 in words is "four hundred fifty-six million, six hundred eighty-four thousand, eight hundred forty-nine".