456447816 has 120 divisors (see below), whose sum is σ = 1362966150. Its totient is φ = 137998080.

The previous prime is 456447781. The next prime is 456447821. The reversal of 456447816 is 618744654.

456447816 is a `hidden beast` number, since 4 + 564 + 4 + 7 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 443270916 + 13176900 = 21054^2 + 3630^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1053936 + ... + 1054368.

Almost surely, 2^456447816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456447816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681483075).

456447816 is an abundant number, since it is smaller than the sum of its proper divisors (906518334).

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

456447816 is a wasteful number, since it uses less digits than its factorization.

456447816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 449 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 456447816 is about 21364.6393838043. The cubic root of 456447816 is about 769.9521058646.

The spelling of 456447816 in words is "four hundred fifty-six million, four hundred forty-seven thousand, eight hundred sixteen".