205252400 has 30 divisors (see below), whose sum is σ = 493119852. Its totient is φ = 82100800.

The previous prime is 205252393. The next prime is 205252403. The reversal of 205252400 is 4252502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (205252403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 256166 + ... + 256965.

Almost surely, 2^205252400 is an apocalyptic number.

205252400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205252400 is an abundant number, since it is smaller than the sum of its proper divisors (287867452).

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

205252400 is a wasteful number, since it uses less digits than its factorization.

205252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513149 (or 513138 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 205252400 is about 14326.6325422271. The cubic root of 205252400 is about 589.8787455502.

The spelling of 205252400 in words is "two hundred five million, two hundred fifty-two thousand, four hundred".