209952040 has 64 divisors (see below), whose sum is σ = 502407360. Its totient is φ = 78689280.

The previous prime is 209952037. The next prime is 209952053. The reversal of 209952040 is 40259902.

It is a junction number, because it is equal to n+sod(n) for n = 209951993 and 209952011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191895 + ... + 192985.

It is an arithmetic number, because the mean of its divisors is an integer number (7850115).

Almost surely, 2^209952040 is an apocalyptic number.

209952040 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 209952040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251203680).

209952040 is an abundant number, since it is smaller than the sum of its proper divisors (292455320).

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

209952040 is a wasteful number, since it uses less digits than its factorization.

209952040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 209952040 is about 14489.7218744874. The cubic root of 209952040 is about 594.3469425460.

The spelling of 209952040 in words is "two hundred nine million, nine hundred fifty-two thousand, forty".