221460 has 24 divisors (see below), whose sum is σ = 620256. Its totient is φ = 59040.

The previous prime is 221453. The next prime is 221461. The reversal of 221460 is 64122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1786 + ... + 1905.

It is an arithmetic number, because the mean of its divisors is an integer number (25844).

2²²¹⁴⁶⁰ is an apocalyptic number.

221460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221460 is an abundant number, since it is smaller than the sum of its proper divisors (398796).

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

221460 is a wasteful number, since it uses less digits than its factorization.

221460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221460 is about 470.5953675930. The cubic root of 221460 is about 60.5013546130.

Subtracting from 221460 its sum of digits (15), we obtain a triangular number (221445 = T₆₆₅).

Adding to 221460 its reverse (64122), we get a palindrome (285582).

The spelling of 221460 in words is "two hundred twenty-one thousand, four hundred sixty".