205057400 has 96 divisors (see below), whose sum is σ = 517466880. Its totient is φ = 75264000.

The previous prime is 205057399. The next prime is 205057429. The reversal of 205057400 is 4750502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138665 + ... + 140135.

It is an arithmetic number, because the mean of its divisors is an integer number (5390280).

Almost surely, 2^205057400 is an apocalyptic number.

205057400 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 205057400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258733440).

205057400 is an abundant number, since it is smaller than the sum of its proper divisors (312409480).

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

205057400 is a wasteful number, since it uses less digits than its factorization.

205057400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 205057400 is about 14319.8254179302. The cubic root of 205057400 is about 589.6918816345.

The spelling of 205057400 in words is "two hundred five million, fifty-seven thousand, four hundred".