468885460560 has 240 divisors, whose sum is σ = 1684450527552. Its totient is φ = 106982604800.

The previous prime is 468885460559. The next prime is 468885460567. The reversal of 468885460560 is 65064588864.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 468885460494 and 468885460503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468885460567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 455680 + ... + 1070240.

Almost surely, 2^468885460560 is an apocalyptic number.

468885460560 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 468885460560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842225263776).

468885460560 is an abundant number, since it is smaller than the sum of its proper divisors (1215565066992).

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

468885460560 is a wasteful number, since it uses less digits than its factorization.

468885460560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614622 (or 614599 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 60.

The spelling of 468885460560 in words is "four hundred sixty-eight billion, eight hundred eighty-five million, four hundred sixty thousand, five hundred sixty".