220489830 has 192 divisors, whose sum is σ = 686024640. Its totient is φ = 50181120.

The previous prime is 220489823. The next prime is 220489837. The reversal of 220489830 is 38984022.

It is an interprime number because it is at equal distance from previous prime (220489823) and next prime (220489837).

It is a super-4 number, since 4×220489830⁴ (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220489837) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555192 + ... + 555588.

It is an arithmetic number, because the mean of its divisors is an integer number (3573045).

Almost surely, 2^220489830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220489830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343012320).

220489830 is an abundant number, since it is smaller than the sum of its proper divisors (465534810).

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

220489830 is a wasteful number, since it uses less digits than its factorization.

220489830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 220489830 is about 14848.8999592562. The cubic root of 220489830 is about 604.1287735462.

It can be divided in two parts, 22048 and 9830, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 220489830 in words is "two hundred twenty million, four hundred eighty-nine thousand, eight hundred thirty".