269782240 has 144 divisors (see below), whose sum is σ = 798753312. Its totient is φ = 85349376.

The previous prime is 269782223. The next prime is 269782259. The reversal of 269782240 is 42287962.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 269782193 and 269782202.

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, 100597 + ... + 103243.

It is an arithmetic number, because the mean of its divisors is an integer number (5546898).

Almost surely, 2^269782240 is an apocalyptic number.

269782240 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 269782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399376656).

269782240 is an abundant number, since it is smaller than the sum of its proper divisors (528971072).

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

269782240 is a wasteful number, since it uses less digits than its factorization.

269782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 269782240 is about 16425.0491627879. The cubic root of 269782240 is about 646.1566011279.

The spelling of 269782240 in words is "two hundred sixty-nine million, seven hundred eighty-two thousand, two hundred forty".