450816512 has 40 divisors (see below), whose sum is σ = 905968800. Its totient is φ = 224103424.

The previous prime is 450816511. The next prime is 450816589. The reversal of 450816512 is 215618054.

It is a super-2 number, since 2×450816512² = 406471054983692288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (450816511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89189 + ... + 94107.

It is an arithmetic number, because the mean of its divisors is an integer number (22649220).

Almost surely, 2^450816512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450816512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452984400).

450816512 is an abundant number, since it is smaller than the sum of its proper divisors (455152288).

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

450816512 is an equidigital number, since it uses as much as digits as its factorization.

450816512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 450816512 is about 21232.4400858686. The cubic root of 450816512 is about 766.7726344599.

The spelling of 450816512 in words is "four hundred fifty million, eight hundred sixteen thousand, five hundred twelve".