427881216 has 288 divisors, whose sum is σ = 1412812800. Its totient is φ = 112250880.

The previous prime is 427881191. The next prime is 427881217. The reversal of 427881216 is 612188724.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427881217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6026461 + ... + 6026531.

It is an arithmetic number, because the mean of its divisors is an integer number (4905600).

Almost surely, 2^427881216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706406400).

427881216 is an abundant number, since it is smaller than the sum of its proper divisors (984931584).

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

427881216 is a wasteful number, since it uses less digits than its factorization.

427881216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 427881216 is about 20685.2898456850. The cubic root of 427881216 is about 753.5424805428.

The spelling of 427881216 in words is "four hundred twenty-seven million, eight hundred eighty-one thousand, two hundred sixteen".