220408 has 8 divisors (see below), whose sum is σ = 413280. Its totient is φ = 110200.

The previous prime is 220403. The next prime is 220411. The reversal of 220408 is 804022.

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 220391 and 220400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220403) 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 as a sum of consecutive naturals, namely, 13768 + ... + 13783.

It is an arithmetic number, because the mean of its divisors is an integer number (51660).

2²²⁰⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

220408 is a deficient number, since it is larger than the sum of its proper divisors (192872).

220408 is a wasteful number, since it uses less digits than its factorization.

220408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27557 (or 27553 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 220408 is about 469.4763039814. The cubic root of 220408 is about 60.4054027885.

The spelling of 220408 in words is "two hundred twenty thousand, four hundred eight".