427221312 has 112 divisors (see below), whose sum is σ = 1323514752. Its totient is φ = 119070720.

The previous prime is 427221259. The next prime is 427221313. The reversal of 427221312 is 213122724.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427221313) 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 15 ways as a sum of consecutive naturals, for example, 51228 + ... + 58980.

It is an arithmetic number, because the mean of its divisors is an integer number (11817096).

Almost surely, 2^427221312 is an apocalyptic number.

427221312 is a gapful number since it is divisible by the number (42) 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 427221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661757376).

427221312 is an abundant number, since it is smaller than the sum of its proper divisors (896293440).

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

427221312 is a wasteful number, since it uses less digits than its factorization.

427221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7806 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 427221312 is about 20669.3326452501. The cubic root of 427221312 is about 753.1548951294.

The spelling of 427221312 in words is "four hundred twenty-seven million, two hundred twenty-one thousand, three hundred twelve".