450585600 has 132 divisors (see below), whose sum is σ = 1489462704. Its totient is φ = 120135680.

The previous prime is 450585599. The next prime is 450585623. The reversal of 450585600 is 6585054.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73867 + ... + 79733.

Almost surely, 2^450585600 is an apocalyptic number.

450585600 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 450585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744731352).

450585600 is an abundant number, since it is smaller than the sum of its proper divisors (1038877104).

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

450585600 is a wasteful number, since it uses less digits than its factorization.

450585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 450585600 is about 21227.0016723983. The cubic root of 450585600 is about 766.6416963092.

The spelling of 450585600 in words is "four hundred fifty million, five hundred eighty-five thousand, six hundred".