221598468 has 288 divisors, whose sum is σ = 766112256. Its totient is φ = 52310016.

The previous prime is 221598449. The next prime is 221598473. The reversal of 221598468 is 864895122.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1280830 + ... + 1281002.

It is an arithmetic number, because the mean of its divisors is an integer number (2660112).

Almost surely, 2^221598468 is an apocalyptic number.

221598468 is a gapful number since it is divisible by the number (28) 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 221598468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383056128).

221598468 is an abundant number, since it is smaller than the sum of its proper divisors (544513788).

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

221598468 is a wasteful number, since it uses less digits than its factorization.

221598468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 238 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 221598468 is about 14886.1837957215. The cubic root of 221598468 is about 605.1396148885.

The spelling of 221598468 in words is "two hundred twenty-one million, five hundred ninety-eight thousand, four hundred sixty-eight".