209339040 has 96 divisors (see below), whose sum is σ = 664070400. Its totient is φ = 55430144.

The previous prime is 209338999. The next prime is 209339041. The reversal of 209339040 is 40933902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 209338989 and 209339007.

It is not an unprimeable number, because it can be changed into a prime (209339041) 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 15 ways as a sum of consecutive naturals, for example, 70057 + ... + 72983.

It is an arithmetic number, because the mean of its divisors is an integer number (6917400).

Almost surely, 2^209339040 is an apocalyptic number.

209339040 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 209339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332035200).

209339040 is an abundant number, since it is smaller than the sum of its proper divisors (454731360).

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

209339040 is a wasteful number, since it uses less digits than its factorization.

209339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 209339040 is about 14468.5534867864. The cubic root of 209339040 is about 593.7679375560.

The spelling of 209339040 in words is "two hundred nine million, three hundred thirty-nine thousand, forty".