209742048 has 144 divisors (see below), whose sum is σ = 636133680. Its totient is φ = 68024448.

The previous prime is 209742031. The next prime is 209742061. The reversal of 209742048 is 840247902.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5668686 + ... + 5668722.

It is an arithmetic number, because the mean of its divisors is an integer number (4417595).

Almost surely, 2^209742048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209742048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318066840).

209742048 is an abundant number, since it is smaller than the sum of its proper divisors (426391632).

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

209742048 is an frugal number, since it uses more digits than its factorization.

209742048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 209742048 is about 14482.4738218303. The cubic root of 209742048 is about 594.1487230908.

The spelling of 209742048 in words is "two hundred nine million, seven hundred forty-two thousand, forty-eight".