456356673 has 48 divisors (see below), whose sum is σ = 730329600. Its totient is φ = 284135040.

The previous prime is 456356671. The next prime is 456356707. The reversal of 456356673 is 376653654.

456356673 is a `hidden beast` number, since 4 + 5 + 635 + 6 + 6 + 7 + 3 = 666.

It is not a de Polignac number, because 456356673 - 2¹ = 456356671 is a prime.

It is a super-2 number, since 2×456356673² = 416522825983257858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456356671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217413 + ... + 219501.

It is an arithmetic number, because the mean of its divisors is an integer number (15215200).

Almost surely, 2^456356673 is an apocalyptic number.

It is an amenable number.

456356673 is a deficient number, since it is larger than the sum of its proper divisors (273972927).

456356673 is a wasteful number, since it uses less digits than its factorization.

456356673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2152 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The square root of 456356673 is about 21362.5062434163. The cubic root of 456356673 is about 769.9008547221.

The spelling of 456356673 in words is "four hundred fifty-six million, three hundred fifty-six thousand, six hundred seventy-three".