456228864 has 384 divisors, whose sum is σ = 1717541280. Its totient is φ = 113246208.

The previous prime is 456228811. The next prime is 456228869. The reversal of 456228864 is 468822654.

456228864 is a `hidden beast` number, since 4 + 562 + 2 + 8 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456228869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26836984 + ... + 26837000.

Almost surely, 2^456228864 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 456228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858770640).

456228864 is an abundant number, since it is smaller than the sum of its proper divisors (1261312416).

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

456228864 is a wasteful number, since it uses less digits than its factorization.

456228864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 456228864 is about 21359.5146012263. The cubic root of 456228864 is about 769.8289742160.

The spelling of 456228864 in words is "four hundred fifty-six million, two hundred twenty-eight thousand, eight hundred sixty-four".