450874872 has 96 divisors (see below), whose sum is σ = 1424124000. Its totient is φ = 128814336.

The previous prime is 450874843. The next prime is 450874939. The reversal of 450874872 is 278478054.

450874872 is a `hidden beast` number, since 4 + 508 + 74 + 8 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15568 + ... + 33824.

It is an arithmetic number, because the mean of its divisors is an integer number (14834625).

Almost surely, 2^450874872 is an apocalyptic number.

450874872 is a gapful number since it is divisible by the number (42) 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 450874872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712062000).

450874872 is an abundant number, since it is smaller than the sum of its proper divisors (973249128).

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

450874872 is a wasteful number, since it uses less digits than its factorization.

450874872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18290 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 450874872 is about 21233.8143535258. The cubic root of 450874872 is about 766.8057202934.

The spelling of 450874872 in words is "four hundred fifty million, eight hundred seventy-four thousand, eight hundred seventy-two".