220638480 has 80 divisors (see below), whose sum is σ = 687378624. Its totient is φ = 58544640.

The previous prime is 220638479. The next prime is 220638487. The reversal of 220638480 is 84836022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (220638487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48462 + ... + 52818.

Almost surely, 2^220638480 is an apocalyptic number.

220638480 is a gapful number since it is divisible by the number (20) 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 220638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343689312).

220638480 is an abundant number, since it is smaller than the sum of its proper divisors (466740144).

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

220638480 is a wasteful number, since it uses less digits than its factorization.

220638480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 220638480 is about 14853.9045371916. The cubic root of 220638480 is about 604.2645070453.

The spelling of 220638480 in words is "two hundred twenty million, six hundred thirty-eight thousand, four hundred eighty".