220411776 has 128 divisors (see below), whose sum is σ = 640886400. Its totient is φ = 66705408.

The previous prime is 220411769. The next prime is 220411801. The reversal of 220411776 is 677114022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334135 + ... + 334793.

It is an arithmetic number, because the mean of its divisors is an integer number (5006925).

Almost surely, 2^220411776 is an apocalyptic number.

220411776 is a gapful number since it is divisible by the number (26) 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 220411776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320443200).

220411776 is an abundant number, since it is smaller than the sum of its proper divisors (420474624).

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

220411776 is a wasteful number, since it uses less digits than its factorization.

220411776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 220411776 is about 14846.2714511085. The cubic root of 220411776 is about 604.0574773891.

Adding to 220411776 its reverse (677114022), we get a palindrome (897525798).

The spelling of 220411776 in words is "two hundred twenty million, four hundred eleven thousand, seven hundred seventy-six".