205245427400 has 96 divisors (see below), whose sum is σ = 514212791400. Its totient is φ = 75737241600.

The previous prime is 205245427367. The next prime is 205245427427. The reversal of 205245427400 is 4724542502.

205245427400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 15548593636 + 189696833764 = 124694^2 + 435542^2 .

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, 4451666 + ... + 4497534.

Almost surely, 2^205245427400 is an apocalyptic number.

205245427400 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 205245427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257106395700).

205245427400 is an abundant number, since it is smaller than the sum of its proper divisors (308967364000).

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

205245427400 is a wasteful number, since it uses less digits than its factorization.

205245427400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47619 (or 47610 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 35.

Adding to 205245427400 its reverse (4724542502), we get a palindrome (209969969902).

The spelling of 205245427400 in words is "two hundred five billion, two hundred forty-five million, four hundred twenty-seven thousand, four hundred".