220727430 has 160 divisors (see below), whose sum is σ = 740171520. Its totient is φ = 45852480.

The previous prime is 220727401. The next prime is 220727449. The reversal of 220727430 is 34727022.

220727430 is a `hidden beast` number, since 2 + 207 + 27 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220727394 and 220727403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60601 + ... + 64139.

It is an arithmetic number, because the mean of its divisors is an integer number (4626072).

Almost surely, 2^220727430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220727430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370085760).

220727430 is an abundant number, since it is smaller than the sum of its proper divisors (519444090).

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

220727430 is a wasteful number, since it uses less digits than its factorization.

220727430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 220727430 is about 14856.8983977141. The cubic root of 220727430 is about 604.3456988461.

The spelling of 220727430 in words is "two hundred twenty million, seven hundred twenty-seven thousand, four hundred thirty".