460858642489440 has 1920 divisors, whose sum is σ = 1910355628769280. Its totient is φ = 103614839193600.

The previous prime is 460858642489391. The next prime is 460858642489451. The reversal of 460858642489440 is 44984246858064.

460858642489440 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 5 + 86 + 4 + 24 + 89 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26892600552 + ... + 26892617688.

It is an arithmetic number, because the mean of its divisors is an integer number (994976889984).

Almost surely, 2^{460858642489440} is an apocalyptic number.

460858642489440 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 460858642489440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955177814384640).

460858642489440 is an abundant number, since it is smaller than the sum of its proper divisors (1449496986279840).

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

460858642489440 is a wasteful number, since it uses less digits than its factorization.

460858642489440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17498 (or 17481 counting only the distinct ones).

The product of its (nonzero) digits is 1698693120, while the sum is 72.

The spelling of 460858642489440 in words is "four hundred sixty trillion, eight hundred fifty-eight billion, six hundred forty-two million, four hundred eighty-nine thousand, four hundred forty".