220450560 has 288 divisors, whose sum is σ = 815899392. Its totient is φ = 50135040.

The previous prime is 220450553. The next prime is 220450567. The reversal of 220450560 is 65054022.

It is an interprime number because it is at equal distance from previous prime (220450553) and next prime (220450567).

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

It is a self number, because there is not a number n which added to its sum of digits gives 220450560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220450567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717927 + ... + 718233.

It is an arithmetic number, because the mean of its divisors is an integer number (2832984).

Almost surely, 2^220450560 is an apocalyptic number.

220450560 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 220450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407949696).

220450560 is an abundant number, since it is smaller than the sum of its proper divisors (595448832).

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

220450560 is a wasteful number, since it uses less digits than its factorization.

220450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 220450560 is about 14847.5775801981. The cubic root of 220450560 is about 604.0929056100.

The spelling of 220450560 in words is "two hundred twenty million, four hundred fifty thousand, five hundred sixty".