450018816 has 160 divisors (see below), whose sum is σ = 1334581248. Its totient is φ = 133816320.

The previous prime is 450018809. The next prime is 450018823. The reversal of 450018816 is 618810054.

It is an interprime number because it is at equal distance from previous prime (450018809) and next prime (450018823).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618645 + ... + 619371.

Almost surely, 2^450018816 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 450018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667290624).

450018816 is an abundant number, since it is smaller than the sum of its proper divisors (884562432).

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

450018816 is a wasteful number, since it uses less digits than its factorization.

450018816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 450018816 is about 21213.6469283337. The cubic root of 450018816 is about 766.3201128953.

The spelling of 450018816 in words is "four hundred fifty million, eighteen thousand, eight hundred sixteen".