220494120 has 256 divisors, whose sum is σ = 843264000. Its totient is φ = 45722880.

The previous prime is 220494083. The next prime is 220494167. The reversal of 220494120 is 21494022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452517 + ... + 453003.

It is an arithmetic number, because the mean of its divisors is an integer number (3294000).

Almost surely, 2^220494120 is an apocalyptic number.

220494120 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 220494120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421632000).

220494120 is an abundant number, since it is smaller than the sum of its proper divisors (622769880).

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

220494120 is a wasteful number, since it uses less digits than its factorization.

220494120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 220494120 is about 14849.0444136988. The cubic root of 220494120 is about 604.1326916342.

The spelling of 220494120 in words is "two hundred twenty million, four hundred ninety-four thousand, one hundred twenty".