450801008 has 80 divisors (see below), whose sum is σ = 1038219264. Its totient is φ = 185552640.

The previous prime is 450800993. The next prime is 450801023. The reversal of 450801008 is 800108054.

It is an interprime number because it is at equal distance from previous prime (450800993) and next prime (450801023).

It is a super-3 number, since 3×450801008³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544691 + ... + 545517.

Almost surely, 2^450801008 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 450801008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519109632).

450801008 is an abundant number, since it is smaller than the sum of its proper divisors (587418256).

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

450801008 is a wasteful number, since it uses less digits than its factorization.

450801008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 450801008 is about 21232.0749810281. The cubic root of 450801008 is about 766.7638443506.

The spelling of 450801008 in words is "four hundred fifty million, eight hundred one thousand, eight".