456195456 has 64 divisors (see below), whose sum is σ = 1346420400. Its totient is φ = 152064000.

The previous prime is 456195449. The next prime is 456195457. The reversal of 456195456 is 654591654.

456195456 is a `hidden beast` number, since 4 + 5 + 6 + 195 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×456195456² = 416228588150095872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456195457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62545 + ... + 69456.

Almost surely, 2^456195456 is an apocalyptic number.

It is an amenable number.

456195456 is an abundant number, since it is smaller than the sum of its proper divisors (890224944).

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

456195456 is a wasteful number, since it uses less digits than its factorization.

456195456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132024 (or 132006 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 456195456 is about 21358.7325466658. The cubic root of 456195456 is about 769.8101831543.

The spelling of 456195456 in words is "four hundred fifty-six million, one hundred ninety-five thousand, four hundred fifty-six".