450568507536 has 405 divisors, whose sum is σ = 1502749473849. Its totient is φ = 125656876800.

The previous prime is 450568507439. The next prime is 450568507561. The reversal of 450568507536 is 635705865054.

It is a happy number.

The square root of 450568507536 is 671244.

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

450568507536 is a `hidden beast` number, since 4 + 5 + 0 + 56 + 8 + 50 + 7 + 536 = 666.

450568507536 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14651649936 + 435916857600 = 121044^2 + 660240^2 .

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, 3439454191 + ... + 3439454321.

Almost surely, 2^450568507536 is an apocalyptic number.

450568507536 is the 671244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450568507536

450568507536 is an abundant number, since it is smaller than the sum of its proper divisors (1052180966313).

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

450568507536 is a wasteful number, since it uses less digits than its factorization.

450568507536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 450568507536 in words is "four hundred fifty billion, five hundred sixty-eight million, five hundred seven thousand, five hundred thirty-six".