450867600960 has 448 divisors, whose sum is σ = 1724748595200. Its totient is φ = 97607024640.

The previous prime is 450867600943. The next prime is 450867600973. The reversal of 450867600960 is 69006768054.

450867600960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9768016 + ... + 9814064.

Almost surely, 2^450867600960 is an apocalyptic number.

450867600960 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 450867600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862374297600).

450867600960 is an abundant number, since it is smaller than the sum of its proper divisors (1273880994240).

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

450867600960 is a wasteful number, since it uses less digits than its factorization.

450867600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46154 (or 46144 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 450867600960 in words is "four hundred fifty billion, eight hundred sixty-seven million, six hundred thousand, nine hundred sixty".