220461 has 8 divisors (see below), whose sum is σ = 300960. Its totient is φ = 143472.

The previous prime is 220447. The next prime is 220469. The reversal of 220461 is 164022.

220461 = T₇₉ + T₈₀ + ... + T₁₂₁.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 220461 - 2⁷ = 220333 is a prime.

220461 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 220461.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220461.

It is not an unprimeable number, because it can be changed into a prime (220469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (37620).

2²²⁰⁴⁶¹ is an apocalyptic number.

It is an amenable number.

220461 is a deficient number, since it is larger than the sum of its proper divisors (80499).

220461 is a wasteful number, since it uses less digits than its factorization.

220461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755.

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

The square root of 220461 is about 469.5327464618. The cubic root of 220461 is about 60.4102441581.

Adding to 220461 its reverse (164022), we get a palindrome (384483).

The spelling of 220461 in words is "two hundred twenty thousand, four hundred sixty-one".