220452960 has 384 divisors, whose sum is σ = 880588800. Its totient is φ = 46061568.

The previous prime is 220452937. The next prime is 220452961. The reversal of 220452960 is 69254022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220452961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2140269 + ... + 2140371.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^220452960 is an apocalyptic number.

220452960 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 220452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

220452960 is an abundant number, since it is smaller than the sum of its proper divisors (660135840).

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

220452960 is a wasteful number, since it uses less digits than its factorization.

220452960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 220452960 is about 14847.6584012429. The cubic root of 220452960 is about 604.0950978138.

The spelling of 220452960 in words is "two hundred twenty million, four hundred fifty-two thousand, nine hundred sixty".