205151400 has 96 divisors (see below), whose sum is σ = 706651200. Its totient is φ = 54705600.

The previous prime is 205151399. The next prime is 205151431. The reversal of 205151400 is 4151502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13596 + ... + 24395.

It is an arithmetic number, because the mean of its divisors is an integer number (7360950).

Almost surely, 2^205151400 is an apocalyptic number.

205151400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205151400 is an abundant number, since it is smaller than the sum of its proper divisors (501499800).

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

205151400 is a wasteful number, since it uses less digits than its factorization.

205151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38016 (or 38001 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 205151400 is about 14323.1072047932. The cubic root of 205151400 is about 589.7819744069.

The spelling of 205151400 in words is "two hundred five million, one hundred fifty-one thousand, four hundred".