460509027840 has 480 divisors, whose sum is σ = 1682108588160. Its totient is φ = 120711389184.

The previous prime is 460509027833. The next prime is 460509027877. The reversal of 460509027840 is 48720905064.

It is a happy number.

460509027840 is a `hidden beast` number, since 4 + 60 + 509 + 0 + 2 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36696447 + ... + 36708993.

It is an arithmetic number, because the mean of its divisors is an integer number (3504392892).

Almost surely, 2^460509027840 is an apocalyptic number.

460509027840 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 460509027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841054294080).

460509027840 is an abundant number, since it is smaller than the sum of its proper divisors (1221599560320).

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

460509027840 is an equidigital number, since it uses as much as digits as its factorization.

460509027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12644 (or 12616 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 460509027840 in words is "four hundred sixty billion, five hundred nine million, twenty-seven thousand, eight hundred forty".