220468400 has 60 divisors (see below), whose sum is σ = 557572200. Its totient is φ = 83543040.

The previous prime is 220468361. The next prime is 220468403. The reversal of 220468400 is 4864022.

It is a self number, because there is not a number n which added to its sum of digits gives 220468400.

It is not an unprimeable number, because it can be changed into a prime (220468403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6905 + ... + 22104.

It is an arithmetic number, because the mean of its divisors is an integer number (9292870).

Almost surely, 2^220468400 is an apocalyptic number.

220468400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220468400 is an abundant number, since it is smaller than the sum of its proper divisors (337103800).

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

220468400 is a wasteful number, since it uses less digits than its factorization.

220468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29046 (or 29035 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 220468400 is about 14848.1783394462. The cubic root of 220468400 is about 604.1092006116.

The spelling of 220468400 in words is "two hundred twenty million, four hundred sixty-eight thousand, four hundred".