456338560 has 64 divisors (see below), whose sum is σ = 1108913400. Its totient is φ = 179527680.

The previous prime is 456338551. The next prime is 456338567. The reversal of 456338560 is 65833654.

It can be written as a sum of positive squares in 4 ways, for example, as 380718144 + 75620416 = 19512^2 + 8696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (456338567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33196 + ... + 44884.

Almost surely, 2^456338560 is an apocalyptic number.

456338560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554456700).

456338560 is an abundant number, since it is smaller than the sum of its proper divisors (652574840).

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

456338560 is a wasteful number, since it uses less digits than its factorization.

456338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11769 (or 11757 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 456338560 is about 21362.0822955067. The cubic root of 456338560 is about 769.8906686845.

The spelling of 456338560 in words is "four hundred fifty-six million, three hundred thirty-eight thousand, five hundred sixty".