427225216 has 64 divisors (see below), whose sum is σ = 960595200. Its totient is φ = 187479040.

The previous prime is 427225189. The next prime is 427225219. The reversal of 427225216 is 612522724.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (427225219) 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 7 ways as a sum of consecutive naturals, for example, 35601 + ... + 46063.

It is an arithmetic number, because the mean of its divisors is an integer number (15009300).

Almost surely, 2^427225216 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 427225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480297600).

427225216 is an abundant number, since it is smaller than the sum of its proper divisors (533369984).

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

427225216 is a wasteful number, since it uses less digits than its factorization.

427225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10517 (or 10505 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 427225216 is about 20669.4270844646. The cubic root of 427225216 is about 753.1571892625.

The spelling of 427225216 in words is "four hundred twenty-seven million, two hundred twenty-five thousand, two hundred sixteen".