460448384760 has 896 divisors, whose sum is σ = 1938760951680. Its totient is φ = 95778422784.

The previous prime is 460448384689. The next prime is 460448384789. The reversal of 460448384760 is 67483844064.

460448384760 is a `hidden beast` number, since 4 + 60 + 4 + 483 + 8 + 47 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 460448384697 and 460448384706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 193708692 + ... + 193711068.

It is an arithmetic number, because the mean of its divisors is an integer number (2163795705).

Almost surely, 2^460448384760 is an apocalyptic number.

460448384760 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 460448384760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969380475840).

460448384760 is an abundant number, since it is smaller than the sum of its proper divisors (1478312566920).

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

460448384760 is a wasteful number, since it uses less digits than its factorization.

460448384760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 460448384760 in words is "four hundred sixty billion, four hundred forty-eight million, three hundred eighty-four thousand, seven hundred sixty".