209480400 has 90 divisors (see below), whose sum is σ = 726967670. Its totient is φ = 55860480.

The previous prime is 209480399. The next prime is 209480413. The reversal of 209480400 is 4084902.

209480400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 41616 + 209438784 = 204^2 + 14472^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25495 + ... + 32694.

Almost surely, 2^209480400 is an apocalyptic number.

209480400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209480400 is an abundant number, since it is smaller than the sum of its proper divisors (517487270).

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

209480400 is a wasteful number, since it uses less digits than its factorization.

209480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58213 (or 58199 counting only the distinct ones).

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

The square root of 209480400 is about 14473.4377395282. The cubic root of 209480400 is about 593.9015583557.

The spelling of 209480400 in words is "two hundred nine million, four hundred eighty thousand, four hundred".