456360064 has 32 divisors (see below), whose sum is σ = 914985900. Its totient is φ = 226716672.

The previous prime is 456360061. The next prime is 456360067. The reversal of 456360064 is 460063654.

It is an interprime number because it is at equal distance from previous prime (456360061) and next prime (456360067).

It can be written as a sum of positive squares in 2 ways, for example, as 364046400 + 92313664 = 19080^2 + 9608^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (456360061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8742 + ... + 31450.

Almost surely, 2^456360064 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 456360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457492950).

456360064 is an abundant number, since it is smaller than the sum of its proper divisors (458625836).

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

456360064 is a wasteful number, since it uses less digits than its factorization.

456360064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22880 (or 22868 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 456360064 is about 21362.5856112971. The cubic root of 456360064 is about 769.9027616569.

The spelling of 456360064 in words is "four hundred fifty-six million, three hundred sixty thousand, sixty-four".