460407324706560 has 2880 divisors, whose sum is σ = 2169291546132480. Its totient is φ = 90329479741440.

The previous prime is 460407324706517. The next prime is 460407324706601. The reversal of 460407324706560 is 65607423704064.

460407324706560 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 0 + 7 + 3 + 2 + 4 + 70 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 460407324706497 and 460407324706506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 46566933937 + ... + 46566943823.

It is an arithmetic number, because the mean of its divisors is an integer number (753226231296).

Almost surely, 2^{460407324706560} is an apocalyptic number.

460407324706560 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 460407324706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084645773066240).

460407324706560 is an abundant number, since it is smaller than the sum of its proper divisors (1708884221425920).

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

460407324706560 is a wasteful number, since it uses less digits than its factorization.

460407324706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10264 (or 10241 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 460407324706560 in words is "four hundred sixty trillion, four hundred seven billion, three hundred twenty-four million, seven hundred six thousand, five hundred sixty".