460984642560 has 1408 divisors, whose sum is σ = 1901607321600. Its totient is φ = 104894300160.

The previous prime is 460984642537. The next prime is 460984642561. The reversal of 460984642560 is 65246489064.

460984642560 is a `hidden beast` number, since 4 + 609 + 8 + 4 + 6 + 4 + 25 + 6 + 0 = 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 = 460984642497 and 460984642506.

It is not an unprimeable number, because it can be changed into a prime (460984642561) 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 127 ways as a sum of consecutive naturals, for example, 2413532065 + ... + 2413532255.

Almost surely, 2^460984642560 is an apocalyptic number.

460984642560 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 460984642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950803660800).

460984642560 is an abundant number, since it is smaller than the sum of its proper divisors (1440622679040).

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

460984642560 is a wasteful number, since it uses less digits than its factorization.

460984642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 460984642560 in words is "four hundred sixty billion, nine hundred eighty-four million, six hundred forty-two thousand, five hundred sixty".