450097046784 has 1080 divisors, whose sum is σ = 1723650420800. Its totient is φ = 116684789760.

The previous prime is 450097046767. The next prime is 450097046803. The reversal of 450097046784 is 487640790054.

450097046784 is a `hidden beast` number, since 4 + 500 + 9 + 70 + 4 + 67 + 8 + 4 = 666.

It is a super-3 number, since 3×450097046784³ (a number of 36 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 450097046784.

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, 860605947 + ... + 860606469.

Almost surely, 2^450097046784 is an apocalyptic number.

450097046784 is a gapful number since it is divisible by the number (44) 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 450097046784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861825210400).

450097046784 is an abundant number, since it is smaller than the sum of its proper divisors (1273553374016).

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

450097046784 is an equidigital number, since it uses as much as digits as its factorization.

450097046784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 450097046784 in words is "four hundred fifty billion, ninety-seven million, forty-six thousand, seven hundred eighty-four".