450359103744 has 729 divisors, whose sum is σ = 1511647114341. Its totient is φ = 128848896000.

The previous prime is 450359103721. The next prime is 450359103767. The reversal of 450359103744 is 447301953054.

The square root of 450359103744 is 671088.

It is a perfect power (a square), and thus also a powerful number.

450359103744 is a `hidden beast` number, since 4 + 50 + 3 + 591 + 0 + 3 + 7 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (450359103721) and next prime (450359103767).

It can be written as a sum of positive squares in only one way, i.e., 21700825344 + 428658278400 = 147312^2 + 654720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 450359103744.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10984368364 + ... + 10984368404.

Almost surely, 2^450359103744 is an apocalyptic number.

450359103744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

450359103744 is the 671088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450359103744

450359103744 is an abundant number, since it is smaller than the sum of its proper divisors (1061288010597).

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

450359103744 is a wasteful number, since it uses less digits than its factorization.

450359103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 450359103744 in words is "four hundred fifty billion, three hundred fifty-nine million, one hundred three thousand, seven hundred forty-four".