450001883269560 has 256 divisors, whose sum is σ = 1407252336192000. Its totient is φ = 114977436456960.

The previous prime is 450001883269489. The next prime is 450001883269567. The reversal of 450001883269560 is 65962388100054.

It is a self number, because there is not a number n which added to its sum of digits gives 450001883269560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450001883269567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374345551 + ... + 375545729.

It is an arithmetic number, because the mean of its divisors is an integer number (5497079438250).

Almost surely, 2^{450001883269560} is an apocalyptic number.

450001883269560 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 450001883269560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703626168096000).

450001883269560 is an abundant number, since it is smaller than the sum of its proper divisors (957250452922440).

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

450001883269560 is a wasteful number, since it uses less digits than its factorization.

450001883269560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201046 (or 1201042 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 450001883269560 in words is "four hundred fifty trillion, one billion, eight hundred eighty-three million, two hundred sixty-nine thousand, five hundred sixty".