450722814535800 has 480 divisors, whose sum is σ = 1659817085889600. Its totient is φ = 112965205893120.

The previous prime is 450722814535699. The next prime is 450722814535811. The reversal of 450722814535800 is 8535418227054.

It is a happy number.

450722814535800 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 2 + 2 + 8 + 1 + 4 + 53 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 196874484 + ... + 199150716.

It is an arithmetic number, because the mean of its divisors is an integer number (3457952262270).

Almost surely, 2^{450722814535800} is an apocalyptic number.

450722814535800 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 450722814535800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829908542944800).

450722814535800 is an abundant number, since it is smaller than the sum of its proper divisors (1209094271353800).

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

450722814535800 is a wasteful number, since it uses less digits than its factorization.

450722814535800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276997 (or 2276979 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 450722814535800 in words is "four hundred fifty trillion, seven hundred twenty-two billion, eight hundred fourteen million, five hundred thirty-five thousand, eight hundred".