450973008 has 120 divisors (see below), whose sum is σ = 1386036288. Its totient is φ = 141460992.

The previous prime is 450972967. The next prime is 450973009. The reversal of 450973008 is 800379054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450973009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62685 + ... + 69507.

Almost surely, 2^450973008 is an apocalyptic number.

450973008 is a gapful number since it is divisible by the number (48) 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 450973008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693018144).

450973008 is an abundant number, since it is smaller than the sum of its proper divisors (935063280).

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

450973008 is a wasteful number, since it uses less digits than its factorization.

450973008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6845 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 450973008 is about 21236.1250702665. The cubic root of 450973008 is about 766.8613497609.

The spelling of 450973008 in words is "four hundred fifty million, nine hundred seventy-three thousand, eight".