427383848960 has 84 divisors (see below), whose sum is σ = 1025733331308. Its totient is φ = 170951442432.

The previous prime is 427383848951. The next prime is 427383848993. The reversal of 427383848960 is 69848383724.

It can be written as a sum of positive squares in 2 ways, for example, as 59895709696 + 367488139264 = 244736^2 + 606208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 427383848893 and 427383848902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5202122 + ... + 5283638.

It is an arithmetic number, because the mean of its divisors is an integer number (12211111087).

Almost surely, 2^427383848960 is an apocalyptic number.

427383848960 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 427383848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512866665654).

427383848960 is an abundant number, since it is smaller than the sum of its proper divisors (598349482348).

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

427383848960 is an frugal number, since it uses more digits than its factorization.

427383848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81562 (or 81524 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 62.

The spelling of 427383848960 in words is "four hundred twenty-seven billion, three hundred eighty-three million, eight hundred forty-eight thousand, nine hundred sixty".