460686451680 has 1728 divisors, whose sum is σ = 2154809599488. Its totient is φ = 88438210560.

The previous prime is 460686451651. The next prime is 460686451747. The reversal of 460686451680 is 86154686064.

460686451680 is a `hidden beast` number, since 4 + 6 + 0 + 68 + 64 + 516 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 483406084 + ... + 483407036.

It is an arithmetic number, because the mean of its divisors is an integer number (1246996296).

Almost surely, 2^460686451680 is an apocalyptic number.

460686451680 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 460686451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077404799744).

460686451680 is an abundant number, since it is smaller than the sum of its proper divisors (1694123147808).

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

460686451680 is a wasteful number, since it uses less digits than its factorization.

460686451680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 460686451680 in words is "four hundred sixty billion, six hundred eighty-six million, four hundred fifty-one thousand, six hundred eighty".