205199040 has 224 divisors, whose sum is σ = 687994560. Its totient is φ = 51757056.

The previous prime is 205199021. The next prime is 205199047. The reversal of 205199040 is 40991502.

It is a happy number.

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 = 205198989 and 205199007.

It is not an unprimeable number, because it can be changed into a prime (205199047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1882506 + ... + 1882614.

Almost surely, 2^205199040 is an apocalyptic number.

205199040 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 205199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343997280).

205199040 is an abundant number, since it is smaller than the sum of its proper divisors (482795520).

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

205199040 is a wasteful number, since it uses less digits than its factorization.

205199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 205199040 is about 14324.7701552241. The cubic root of 205199040 is about 589.8276236829.

The spelling of 205199040 in words is "two hundred five million, one hundred ninety-nine thousand, forty".