456314536 has 16 divisors (see below), whose sum is σ = 885093300. Its totient is φ = 220289664.

The previous prime is 456314533. The next prime is 456314563. The reversal of 456314536 is 635413654.

It can be written as a sum of positive squares in 2 ways, for example, as 449185636 + 7128900 = 21194^2 + 2670^2 .

It is a super-3 number, since 3×456314536³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456314495 and 456314504.

It is not an unprimeable number, because it can be changed into a prime (456314533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 983205 + ... + 983668.

Almost surely, 2^456314536 is an apocalyptic number.

It is an amenable number.

456314536 is a deficient number, since it is larger than the sum of its proper divisors (428778764).

456314536 is a wasteful number, since it uses less digits than its factorization.

456314536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966908 (or 1966904 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

The square root of 456314536 is about 21361.5199833720. The cubic root of 456314536 is about 769.8771581175.

The spelling of 456314536 in words is "four hundred fifty-six million, three hundred fourteen thousand, five hundred thirty-six".