450224160 has 192 divisors, whose sum is σ = 1486356480. Its totient is φ = 114416640.

The previous prime is 450224153. The next prime is 450224189. The reversal of 450224160 is 61422054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 450224160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175329 + ... + 1175711.

It is an arithmetic number, because the mean of its divisors is an integer number (7741440).

Almost surely, 2^450224160 is an apocalyptic number.

450224160 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 450224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743178240).

450224160 is an abundant number, since it is smaller than the sum of its proper divisors (1036132320).

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

450224160 is a wasteful number, since it uses less digits than its factorization.

450224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 450224160 is about 21218.4862796572. The cubic root of 450224160 is about 766.4366526956.

The spelling of 450224160 in words is "four hundred fifty million, two hundred twenty-four thousand, one hundred sixty".