221648460 has 96 divisors (see below), whose sum is σ = 693633024. Its totient is φ = 52416000.

The previous prime is 221648411. The next prime is 221648507. The reversal of 221648460 is 64846122.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22965 + ... + 31155.

It is an arithmetic number, because the mean of its divisors is an integer number (7225344).

Almost surely, 2^221648460 is an apocalyptic number.

221648460 is a gapful number since it is divisible by the number (20) 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 221648460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346816512).

221648460 is an abundant number, since it is smaller than the sum of its proper divisors (471984564).

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

221648460 is a wasteful number, since it uses less digits than its factorization.

221648460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 221648460 is about 14887.8628419260. The cubic root of 221648460 is about 605.1851174067.

The spelling of 221648460 in words is "two hundred twenty-one million, six hundred forty-eight thousand, four hundred sixty".