460171440 has 240 divisors, whose sum is σ = 1629538560. Its totient is φ = 116213760.

The previous prime is 460171433. The next prime is 460171441. The reversal of 460171440 is 44171064.

460171440 is a `hidden beast` number, since 4 + 601 + 7 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (460171441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1182766 + ... + 1183154.

It is an arithmetic number, because the mean of its divisors is an integer number (6789744).

Almost surely, 2^460171440 is an apocalyptic number.

460171440 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 460171440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814769280).

460171440 is an abundant number, since it is smaller than the sum of its proper divisors (1169367120).

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

460171440 is a wasteful number, since it uses less digits than its factorization.

460171440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 460171440 is about 21451.6069328151. The cubic root of 460171440 is about 772.0401511150.

The spelling of 460171440 in words is "four hundred sixty million, one hundred seventy-one thousand, four hundred forty".