450831648 has 96 divisors (see below), whose sum is σ = 1252250496. Its totient is φ = 141723648.

The previous prime is 450831637. The next prime is 450831679. The reversal of 450831648 is 846138054.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159786 + ... + 162582.

It is an arithmetic number, because the mean of its divisors is an integer number (13044276).

Almost surely, 2^450831648 is an apocalyptic number.

450831648 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 450831648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626125248).

450831648 is an abundant number, since it is smaller than the sum of its proper divisors (801418848).

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

450831648 is a wasteful number, since it uses less digits than its factorization.

450831648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 450831648 is about 21232.7965185936. The cubic root of 450831648 is about 766.7812157344.

The spelling of 450831648 in words is "four hundred fifty million, eight hundred thirty-one thousand, six hundred forty-eight".