205257920 has 112 divisors (see below), whose sum is σ = 571853568. Its totient is φ = 68705280.

The previous prime is 205257901. The next prime is 205257929. The reversal of 205257920 is 29752502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205257929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95255 + ... + 97385.

Almost surely, 2^205257920 is an apocalyptic number.

205257920 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 205257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285926784).

205257920 is an abundant number, since it is smaller than the sum of its proper divisors (366595648).

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

205257920 is a wasteful number, since it uses less digits than its factorization.

205257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 205257920 is about 14326.8251891338. The cubic root of 205257920 is about 589.8840335135.

The spelling of 205257920 in words is "two hundred five million, two hundred fifty-seven thousand, nine hundred twenty".