450596560 has 80 divisors (see below), whose sum is σ = 1136458512. Its totient is φ = 165478400.

The previous prime is 450596557. The next prime is 450596579. The reversal of 450596560 is 65695054.

It can be written as a sum of positive squares in 8 ways, for example, as 35904064 + 414692496 = 5992^2 + 20364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51720 + ... + 59800.

Almost surely, 2^450596560 is an apocalyptic number.

450596560 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 450596560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568229256).

450596560 is an abundant number, since it is smaller than the sum of its proper divisors (685861952).

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

450596560 is a wasteful number, since it uses less digits than its factorization.

450596560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The square root of 450596560 is about 21227.2598325832. The cubic root of 450596560 is about 766.6479121646.

The spelling of 450596560 in words is "four hundred fifty million, five hundred ninety-six thousand, five hundred sixty".