205351400 has 24 divisors (see below), whose sum is σ = 477442470. Its totient is φ = 82140480.

The previous prime is 205351357. The next prime is 205351417. The reversal of 205351400 is 4153502.

It can be written as a sum of positive squares in 3 ways, for example, as 74615044 + 130736356 = 8638^2 + 11434^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 513179 + ... + 513578.

Almost surely, 2^205351400 is an apocalyptic number.

205351400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205351400 is an abundant number, since it is smaller than the sum of its proper divisors (272091070).

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

205351400 is a wasteful number, since it uses less digits than its factorization.

205351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026773 (or 1026764 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205351400 is about 14330.0872293228. The cubic root of 205351400 is about 589.9735696290.

The spelling of 205351400 in words is "two hundred five million, three hundred fifty-one thousand, four hundred".