450560452644 has 135 divisors (see below), whose sum is σ = 1194086870977. Its totient is φ = 148144911552.

The previous prime is 450560452597. The next prime is 450560452649. The reversal of 450560452644 is 446254065054.

The square root of 450560452644 is 671238.

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

450560452644 is a `hidden beast` number, since 4 + 5 + 0 + 560 + 45 + 2 + 6 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86517163044 + 364043289600 = 294138^2 + 603360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 450560452644.

It is not an unprimeable number, because it can be changed into a prime (450560452649) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1075323067 + ... + 1075323485.

Almost surely, 2^450560452644 is an apocalyptic number.

450560452644 is the 671238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450560452644

450560452644 is an abundant number, since it is smaller than the sum of its proper divisors (743526418333).

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

450560452644 is an frugal number, since it uses more digits than its factorization.

450560452644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 450560452644 in words is "four hundred fifty billion, five hundred sixty million, four hundred fifty-two thousand, six hundred forty-four".