205256440 has 32 divisors (see below), whose sum is σ = 464940000. Its totient is φ = 81549184.

The previous prime is 205256407. The next prime is 205256479. The reversal of 205256440 is 44652502.

It is a super-2 number, since 2×205256440² = 84260412322947200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205256399 and 205256408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11260 + ... + 23179.

It is an arithmetic number, because the mean of its divisors is an integer number (14529375).

Almost surely, 2^205256440 is an apocalyptic number.

205256440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205256440 is an abundant number, since it is smaller than the sum of its proper divisors (259683560).

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

205256440 is a wasteful number, since it uses less digits than its factorization.

205256440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34599 (or 34595 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 205256440 is about 14326.7735376811. The cubic root of 205256440 is about 589.8826157356.

The spelling of 205256440 in words is "two hundred five million, two hundred fifty-six thousand, four hundred forty".