460661884800 has 1152 divisors, whose sum is σ = 1772391559680. Its totient is φ = 104336179200.

The previous prime is 460661884799. The next prime is 460661884817. The reversal of 460661884800 is 8488166064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2758454317 + ... + 2758454483.

It is an arithmetic number, because the mean of its divisors is an integer number (1538534340).

Almost surely, 2^460661884800 is an apocalyptic number.

460661884800 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 460661884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886195779840).

460661884800 is an abundant number, since it is smaller than the sum of its proper divisors (1311729674880).

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

460661884800 is a wasteful number, since it uses less digits than its factorization.

460661884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 460661884800 in words is "four hundred sixty billion, six hundred sixty-one million, eight hundred eighty-four thousand, eight hundred".