456986145 has 48 divisors (see below), whose sum is σ = 918529920. Its totient is φ = 189911040.

The previous prime is 456986111. The next prime is 456986171. The reversal of 456986145 is 541689654.

It is not a de Polignac number, because 456986145 - 2⁸ = 456985889 is a prime.

It is a super-2 number, since 2×456986145² = 417672673443922050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456986094 and 456986103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5280 + ... + 30689.

It is an arithmetic number, because the mean of its divisors is an integer number (19136040).

Almost surely, 2^456986145 is an apocalyptic number.

It is an amenable number.

456986145 is an abundant number, since it is smaller than the sum of its proper divisors (461543775).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456986145 is a wasteful number, since it uses less digits than its factorization.

456986145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36006 (or 35995 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 456986145 is about 21377.2342691939. The cubic root of 456986145 is about 770.2546776608.

The spelling of 456986145 in words is "four hundred fifty-six million, nine hundred eighty-six thousand, one hundred forty-five".