450801980160 has 576 divisors, whose sum is σ = 1709440696320. Its totient is φ = 99074949120.

The previous prime is 450801980159. The next prime is 450801980203. The reversal of 450801980160 is 61089108054.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135822981 + ... + 135826299.

Almost surely, 2^450801980160 is an apocalyptic number.

450801980160 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 450801980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854720348160).

450801980160 is an abundant number, since it is smaller than the sum of its proper divisors (1258638716160).

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

450801980160 is a wasteful number, since it uses less digits than its factorization.

450801980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 450801980160 in words is "four hundred fifty billion, eight hundred one million, nine hundred eighty thousand, one hundred sixty".