205469040 has 320 divisors, whose sum is σ = 789949440. Its totient is φ = 43130880.

The previous prime is 205469039. The next prime is 205469041. The reversal of 205469040 is 40964502.

It is an interprime number because it is at equal distance from previous prime (205469039) and next prime (205469041).

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 = 205468989 and 205469007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205469041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1308642 + ... + 1308798.

It is an arithmetic number, because the mean of its divisors is an integer number (2468592).

Almost surely, 2^205469040 is an apocalyptic number.

205469040 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 205469040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394974720).

205469040 is an abundant number, since it is smaller than the sum of its proper divisors (584480400).

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

205469040 is a wasteful number, since it uses less digits than its factorization.

205469040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 205469040 is about 14334.1912921518. The cubic root of 205469040 is about 590.0862078379.

The spelling of 205469040 in words is "two hundred five million, four hundred sixty-nine thousand, forty".