460651887820800 has 1536 divisors, whose sum is σ = 1881462245376000. Its totient is φ = 109731328819200.

The previous prime is 460651887820777. The next prime is 460651887820847. The reversal of 460651887820800 is 8028788156064.

460651887820800 is a `hidden beast` number, since 4 + 606 + 5 + 18 + 8 + 7 + 8 + 2 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8913689361 + ... + 8913741039.

It is an arithmetic number, because the mean of its divisors is an integer number (1224910316000).

Almost surely, 2^{460651887820800} is an apocalyptic number.

460651887820800 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 460651887820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940731122688000).

460651887820800 is an abundant number, since it is smaller than the sum of its proper divisors (1420810357555200).

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

460651887820800 is a wasteful number, since it uses less digits than its factorization.

460651887820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51772 (or 51733 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 460651887820800 in words is "four hundred sixty trillion, six hundred fifty-one billion, eight hundred eighty-seven million, eight hundred twenty thousand, eight hundred".