221672460 has 48 divisors (see below), whose sum is σ = 624427776. Its totient is φ = 58756032.

The previous prime is 221672453. The next prime is 221672461. The reversal of 221672460 is 64276122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (221672461) 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, 1042 + ... + 21081.

It is an arithmetic number, because the mean of its divisors is an integer number (13008912).

Almost surely, 2^221672460 is an apocalyptic number.

221672460 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 221672460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312213888).

221672460 is an abundant number, since it is smaller than the sum of its proper divisors (402755316).

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

221672460 is a wasteful number, since it uses less digits than its factorization.

221672460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22302 (or 22300 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 221672460 is about 14888.6688458035. The cubic root of 221672460 is about 605.2069596799.

The spelling of 221672460 in words is "two hundred twenty-one million, six hundred seventy-two thousand, four hundred sixty".