450762985728 has 432 divisors, whose sum is σ = 1498023072000. Its totient is φ = 129068728320.

The previous prime is 450762985667. The next prime is 450762985747. The reversal of 450762985728 is 827589267054.

450762985728 is a `hidden beast` number, since 4 + 50 + 7 + 6 + 2 + 9 + 8 + 572 + 8 = 666.

It is a super-2 number, since 2×450762985728² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34537348 + ... + 34550396.

It is an arithmetic number, because the mean of its divisors is an integer number (3467646000).

Almost surely, 2^450762985728 is an apocalyptic number.

450762985728 is a gapful number since it is divisible by the number (48) 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 450762985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749011536000).

450762985728 is an abundant number, since it is smaller than the sum of its proper divisors (1047260086272).

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

450762985728 is a wasteful number, since it uses less digits than its factorization.

450762985728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13158 (or 13141 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 450762985728 in words is "four hundred fifty billion, seven hundred sixty-two million, nine hundred eighty-five thousand, seven hundred twenty-eight".