209472 has 28 divisors (see below), whose sum is σ = 554736. Its totient is φ = 69760.

The previous prime is 209471. The next prime is 209477. The reversal of 209472 is 274902.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2 + 0 + 4 + 9⁵ + 7⁶ + 2¹⁵ .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (209471) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 354 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2²⁰⁹⁴⁷² is an apocalyptic number.

It is an amenable number.

209472 is an abundant number, since it is smaller than the sum of its proper divisors (345264).

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

209472 is a wasteful number, since it uses less digits than its factorization.

209472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 209472 is about 457.6811116924. The cubic root of 209472 is about 59.3893619920.

The spelling of 209472 in words is "two hundred nine thousand, four hundred seventy-two".