450483749517120 has 896 divisors, whose sum is σ = 1612994120939520. Its totient is φ = 105574896107520.

The previous prime is 450483749517101. The next prime is 450483749517157. The reversal of 450483749517120 is 21715947384054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62628072244 + ... + 62628079436.

Almost surely, 2^{450483749517120} is an apocalyptic number.

450483749517120 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 450483749517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806497060469760).

450483749517120 is an abundant number, since it is smaller than the sum of its proper divisors (1162510371422400).

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

450483749517120 is a wasteful number, since it uses less digits than its factorization.

450483749517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8663 (or 8653 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 450483749517120 in words is "four hundred fifty trillion, four hundred eighty-three billion, seven hundred forty-nine million, five hundred seventeen thousand, one hundred twenty".