220177408 has 66 divisors (see below), whose sum is σ = 484062278. Its totient is φ = 100024320.

The previous prime is 220177403. The next prime is 220177411. The reversal of 220177408 is 804771022.

It can be written as a sum of positive squares in only one way, i.e., 188457984 + 31719424 = 13728^2 + 5632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220177408.

It is not an unprimeable number, because it can be changed into a prime (220177403) 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 5 ways as a sum of consecutive naturals, for example, 123016 + ... + 124792.

Almost surely, 2^220177408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220177408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242031139).

220177408 is an abundant number, since it is smaller than the sum of its proper divisors (263884870).

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

220177408 is a wasteful number, since it uses less digits than its factorization.

220177408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 220177408 is about 14838.3761914840. The cubic root of 220177408 is about 603.8432995539.

The spelling of 220177408 in words is "two hundred twenty million, one hundred seventy-seven thousand, four hundred eight".