450774326640 has 640 divisors, whose sum is σ = 1646431764480. Its totient is φ = 100854374400.

The previous prime is 450774326627. The next prime is 450774326701. The reversal of 450774326640 is 46623477054.

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

It is a self number, because there is not a number n which added to its sum of digits gives 450774326640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 865209580 + ... + 865210100.

It is an arithmetic number, because the mean of its divisors is an integer number (2572549632).

Almost surely, 2^450774326640 is an apocalyptic number.

450774326640 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 450774326640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823215882240).

450774326640 is an abundant number, since it is smaller than the sum of its proper divisors (1195657437840).

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

450774326640 is a wasteful number, since it uses less digits than its factorization.

450774326640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 450774326640 in words is "four hundred fifty billion, seven hundred seventy-four million, three hundred twenty-six thousand, six hundred forty".