456128064 has 168 divisors, whose sum is σ = 1560149280. Its totient is φ = 130298112.

The previous prime is 456128063. The next prime is 456128081. The reversal of 456128064 is 460821654.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (456128063) 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, 81979 + ... + 87365.

Almost surely, 2^456128064 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 456128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780074640).

456128064 is an abundant number, since it is smaller than the sum of its proper divisors (1104021216).

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

456128064 is a wasteful number, since it uses less digits than its factorization.

456128064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 456128064 is about 21357.1548666951. The cubic root of 456128064 is about 769.7722742551.

The spelling of 456128064 in words is "four hundred fifty-six million, one hundred twenty-eight thousand, sixty-four".