220460800 has 324 divisors, whose sum is σ = 686232120. Its totient is φ = 69672960.

The previous prime is 220460791. The next prime is 220460827. The reversal of 220460800 is 8064022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5958382 + ... + 5958418.

Almost surely, 2^220460800 is an apocalyptic number.

220460800 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 220460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343116060).

220460800 is an abundant number, since it is smaller than the sum of its proper divisors (465771320).

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

220460800 is a wasteful number, since it uses less digits than its factorization.

220460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 220460800 is about 14847.9224135904. The cubic root of 220460800 is about 604.1022589023.

The spelling of 220460800 in words is "two hundred twenty million, four hundred sixty thousand, eight hundred".