460161360 has 120 divisors (see below), whose sum is σ = 1568604960. Its totient is φ = 120865536.

The previous prime is 460161343. The next prime is 460161367. The reversal of 460161360 is 63161064.

460161360 is a `hidden beast` number, since 46 + 0 + 1 + 613 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460161367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43471 + ... + 53009.

It is an arithmetic number, because the mean of its divisors is an integer number (13071708).

Almost surely, 2^460161360 is an apocalyptic number.

460161360 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 460161360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784302480).

460161360 is an abundant number, since it is smaller than the sum of its proper divisors (1108443600).

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

460161360 is a wasteful number, since it uses less digits than its factorization.

460161360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9625 (or 9616 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 460161360 is about 21451.3719840946. The cubic root of 460161360 is about 772.0345139249.

The spelling of 460161360 in words is "four hundred sixty million, one hundred sixty-one thousand, three hundred sixty".