209795040 has 288 divisors, whose sum is σ = 881689536. Its totient is φ = 44236800.

The previous prime is 209794999. The next prime is 209795051. The reversal of 209795040 is 40597902.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 209794986 and 209795004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130240 + ... + 131840.

It is an arithmetic number, because the mean of its divisors is an integer number (3061422).

Almost surely, 2^209795040 is an apocalyptic number.

209795040 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 209795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440844768).

209795040 is an abundant number, since it is smaller than the sum of its proper divisors (671894496).

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

209795040 is a wasteful number, since it uses less digits than its factorization.

209795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 209795040 is about 14484.3032279775. The cubic root of 209795040 is about 594.1987567365.

The spelling of 209795040 in words is "two hundred nine million, seven hundred ninety-five thousand, forty".