205051400 has 24 divisors (see below), whose sum is σ = 476744970. Its totient is φ = 82020480.

The previous prime is 205051397. The next prime is 205051403. The reversal of 205051400 is 4150502.

It is an interprime number because it is at equal distance from previous prime (205051397) and next prime (205051403).

It can be written as a sum of positive squares in 3 ways, for example, as 197177764 + 7873636 = 14042^2 + 2806^2 .

It is not an unprimeable number, because it can be changed into a prime (205051403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 512429 + ... + 512828.

Almost surely, 2^205051400 is an apocalyptic number.

205051400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205051400 is an abundant number, since it is smaller than the sum of its proper divisors (271693570).

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

205051400 is a wasteful number, since it uses less digits than its factorization.

205051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025273 (or 1025264 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 205051400 is about 14319.6159166369. The cubic root of 205051400 is about 589.6861300973.

The spelling of 205051400 in words is "two hundred five million, fifty-one thousand, four hundred".