460009870848 has 720 divisors, whose sum is σ = 1536679235520. Its totient is φ = 136384819200.

The previous prime is 460009870843. The next prime is 460009870871. The reversal of 460009870848 is 848078900064.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 460009870794 and 460009870803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460009870843) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2180141463 + ... + 2180141673.

It is an arithmetic number, because the mean of its divisors is an integer number (2134276716).

Almost surely, 2^460009870848 is an apocalyptic number.

460009870848 is a gapful number since it is divisible by the number (48) 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 460009870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768339617760).

460009870848 is an abundant number, since it is smaller than the sum of its proper divisors (1076669364672).

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

460009870848 is an frugal number, since it uses more digits than its factorization.

460009870848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 460009870848 in words is "four hundred sixty billion, nine million, eight hundred seventy thousand, eight hundred forty-eight".