460591560 has 384 divisors, whose sum is σ = 1839801600. Its totient is φ = 98334720.

The previous prime is 460591513. The next prime is 460591561. The reversal of 460591560 is 65195064.

460591560 is a `hidden beast` number, since 4 + 6 + 0 + 5 + 91 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (460591561) 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 95 ways as a sum of consecutive naturals, for example, 1183846 + ... + 1184234.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2^460591560 is an apocalyptic number.

460591560 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 460591560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919900800).

460591560 is an abundant number, since it is smaller than the sum of its proper divisors (1379210040).

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

460591560 is a wasteful number, since it uses less digits than its factorization.

460591560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 460591560 is about 21461.3969722383. The cubic root of 460591560 is about 772.2750279628.

The spelling of 460591560 in words is "four hundred sixty million, five hundred ninety-one thousand, five hundred sixty".