221456466 has 96 divisors (see below), whose sum is σ = 624319488. Its totient is φ = 55012320.

The previous prime is 221456453. The next prime is 221456471. The reversal of 221456466 is 664654122.

221456466 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 5 + 646 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 221456466.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28405 + ... + 35351.

It is an arithmetic number, because the mean of its divisors is an integer number (6503328).

Almost surely, 2^221456466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221456466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312159744).

221456466 is an abundant number, since it is smaller than the sum of its proper divisors (402863022).

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

221456466 is a wasteful number, since it uses less digits than its factorization.

221456466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996 (or 6993 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 221456466 is about 14881.4134409336. The cubic root of 221456466 is about 605.0103278978.

The spelling of 221456466 in words is "two hundred twenty-one million, four hundred fifty-six thousand, four hundred sixty-six".