450274289897880 has 192 divisors, whose sum is σ = 1726397277696000. Its totient is φ = 99599842909440.

The previous prime is 450274289897867. The next prime is 450274289897893. The reversal of 450274289897880 is 88798982472054.

450274289897880 is a `hidden beast` number, since 4 + 5 + 0 + 27 + 428 + 9 + 8 + 97 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (450274289897867) and next prime (450274289897893).

It is a super-2 number, since 2×450274289897880² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 450274289897880.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2881861780 + ... + 2882018019.

It is an arithmetic number, because the mean of its divisors is an integer number (8991652488000).

Almost surely, 2^{450274289897880} is an apocalyptic number.

450274289897880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450274289897880 is an abundant number, since it is smaller than the sum of its proper divisors (1276122987798120).

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

450274289897880 is a wasteful number, since it uses less digits than its factorization.

450274289897880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763879854 (or 5763879847 counting only the distinct ones).

The product of its (nonzero) digits is 5202247680, while the sum is 81.

The spelling of 450274289897880 in words is "four hundred fifty trillion, two hundred seventy-four billion, two hundred eighty-nine million, eight hundred ninety-seven thousand, eight hundred eighty".