209030400 has 324 divisors, whose sum is σ = 790782720. Its totient is φ = 52531200.

The previous prime is 209030399. The next prime is 209030407. The reversal of 209030400 is 4030902.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209030407) 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 35 ways as a sum of consecutive naturals, for example, 1094305 + ... + 1094495.

Almost surely, 2^209030400 is an apocalyptic number.

209030400 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 209030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395391360).

209030400 is an abundant number, since it is smaller than the sum of its proper divisors (581752320).

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

209030400 is a wasteful number, since it uses less digits than its factorization.

209030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 209030400 is about 14457.8836625559. The cubic root of 209030400 is about 593.4759858433.

The spelling of 209030400 in words is "two hundred nine million, thirty thousand, four hundred".