460520245140450 has 192 divisors, whose sum is σ = 1254387390925824. Its totient is φ = 110882498400000.

The previous prime is 460520245140343. The next prime is 460520245140469. The reversal of 460520245140450 is 54041542025064.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1448149965 + ... + 1448467935.

It is an arithmetic number, because the mean of its divisors is an integer number (6533267661072).

Almost surely, 2^{460520245140450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460520245140450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627193695462912).

460520245140450 is an abundant number, since it is smaller than the sum of its proper divisors (793867145785374).

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

460520245140450 is a wasteful number, since it uses less digits than its factorization.

460520245140450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323961 (or 323956 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 460520245140450 in words is "four hundred sixty trillion, five hundred twenty billion, two hundred forty-five million, one hundred forty thousand, four hundred fifty".