456117444 has 18 divisors (see below), whose sum is σ = 1152963630. Its totient is φ = 152039136.

The previous prime is 456117443. The next prime is 456117457. The reversal of 456117444 is 444711654.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 358344900 + 97772544 = 18930^2 + 9888^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12669929 = 456117444 / (4 + 5 + 6 + 1 + 1 + 7 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 456117399 and 456117408.

It is not an unprimeable number, because it can be changed into a prime (456117443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6334929 + ... + 6335000.

It is an arithmetic number, because the mean of its divisors is an integer number (64053535).

Almost surely, 2^456117444 is an apocalyptic number.

It is an amenable number.

456117444 is an abundant number, since it is smaller than the sum of its proper divisors (696846186).

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

456117444 is a wasteful number, since it uses less digits than its factorization.

456117444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12669939 (or 12669934 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 456117444 is about 21356.9062366252. The cubic root of 456117444 is about 769.7663000228.

The spelling of 456117444 in words is "four hundred fifty-six million, one hundred seventeen thousand, four hundred forty-four".