450887680 has 88 divisors (see below), whose sum is σ = 1107295992. Its totient is φ = 176160768.

The previous prime is 450887659. The next prime is 450887693. The reversal of 450887680 is 86788054.

It is a self number, because there is not a number n which added to its sum of digits gives 450887680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10485739 + ... + 10485781.

It is an arithmetic number, because the mean of its divisors is an integer number (12582909).

Almost surely, 2^450887680 is an apocalyptic number.

450887680 is a gapful number since it is divisible by the number (40) 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 450887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553647996).

450887680 is an abundant number, since it is smaller than the sum of its proper divisors (656408312).

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

450887680 is an frugal number, since it uses more digits than its factorization.

450887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 450887680 is about 21234.1159458076. The cubic root of 450887680 is about 766.8129811066.

The spelling of 450887680 in words is "four hundred fifty million, eight hundred eighty-seven thousand, six hundred eighty".