209200480 has 48 divisors (see below), whose sum is σ = 501034464. Its totient is φ = 82529280.

The previous prime is 209200477. The next prime is 209200483. The reversal of 209200480 is 84002902.

It is an interprime number because it is at equal distance from previous prime (209200477) and next prime (209200483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209200483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2725 + ... + 20635.

It is an arithmetic number, because the mean of its divisors is an integer number (10438218).

Almost surely, 2^209200480 is an apocalyptic number.

209200480 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 209200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250517232).

209200480 is an abundant number, since it is smaller than the sum of its proper divisors (291833984).

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

209200480 is a wasteful number, since it uses less digits than its factorization.

209200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17999 (or 17991 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 209200480 is about 14463.7643786118. The cubic root of 209200480 is about 593.6369050708.

The spelling of 209200480 in words is "two hundred nine million, two hundred thousand, four hundred eighty".