460611971856 has 135 divisors (see below), whose sum is σ = 1348105514119. Its totient is φ = 146802063936.

The previous prime is 460611971849. The next prime is 460611971857. The reversal of 460611971856 is 658179116064.

The square root of 460611971856 is 678684.

It is a perfect power (a square), and thus also a powerful number.

460611971856 is a `hidden beast` number, since 4 + 6 + 0 + 611 + 9 + 7 + 18 + 5 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460611971857) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 187315555 + ... + 187318013.

Almost surely, 2^460611971856 is an apocalyptic number.

460611971856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

460611971856 is the 678684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460611971856

460611971856 is an abundant number, since it is smaller than the sum of its proper divisors (887493542263).

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

460611971856 is an equidigital number, since it uses as much as digits as its factorization.

460611971856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 460611971856 in words is "four hundred sixty billion, six hundred eleven million, nine hundred seventy-one thousand, eight hundred fifty-six".