450506800 has 120 divisors (see below), whose sum is σ = 1159519536. Its totient is φ = 167608320.

The previous prime is 450506779. The next prime is 450506801. The reversal of 450506800 is 8605054.

It is not an unprimeable number, because it can be changed into a prime (450506801) 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, 659259 + ... + 659941.

Almost surely, 2^450506800 is an apocalyptic number.

450506800 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 450506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579759768).

450506800 is an abundant number, since it is smaller than the sum of its proper divisors (709012736).

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

450506800 is a wasteful number, since it uses less digits than its factorization.

450506800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 450506800 is about 21225.1454647548. The cubic root of 450506800 is about 766.5970027018.

The spelling of 450506800 in words is "four hundred fifty million, five hundred six thousand, eight hundred".