450640226304 has 336 divisors, whose sum is σ = 1355909454900. Its totient is φ = 149665480704.

The previous prime is 450640226249. The next prime is 450640226357. The reversal of 450640226304 is 403622046054.

450640226304 is a `hidden beast` number, since 4 + 5 + 0 + 640 + 2 + 2 + 6 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 427778786304 + 22861440000 = 654048^2 + 151200^2 .

It is a super-2 number, since 2×450640226304² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 759932632 + ... + 759933224.

Almost surely, 2^450640226304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450640226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677954727450).

450640226304 is an abundant number, since it is smaller than the sum of its proper divisors (905269228596).

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

450640226304 is an frugal number, since it uses more digits than its factorization.

450640226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 450640226304 in words is "four hundred fifty billion, six hundred forty million, two hundred twenty-six thousand, three hundred four".