209220480 has 192 divisors, whose sum is σ = 825832800. Its totient is φ = 47812608.

The previous prime is 209220469. The next prime is 209220511. The reversal of 209220480 is 84022902.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37726 + ... + 42914.

Almost surely, 2^209220480 is an apocalyptic number.

209220480 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 209220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412916400).

209220480 is an abundant number, since it is smaller than the sum of its proper divisors (616612320).

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

209220480 is a wasteful number, since it uses less digits than its factorization.

209220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 209220480 is about 14464.4557450324. The cubic root of 209220480 is about 593.6558221080.

The spelling of 209220480 in words is "two hundred nine million, two hundred twenty thousand, four hundred eighty".