450441456960 has 224 divisors, whose sum is σ = 1596449935872. Its totient is φ = 106658334720.

The previous prime is 450441456943. The next prime is 450441456961. The reversal of 450441456960 is 69654144054.

It is a super-2 number, since 2×450441456960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450441456961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41914 + ... + 950073.

Almost surely, 2^450441456960 is an apocalyptic number.

450441456960 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 450441456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798224967936).

450441456960 is an abundant number, since it is smaller than the sum of its proper divisors (1146008478912).

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

450441456960 is a wasteful number, since it uses less digits than its factorization.

450441456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992061 (or 992051 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 450441456960 in words is "four hundred fifty billion, four hundred forty-one million, four hundred fifty-six thousand, nine hundred sixty".