205725740 has 48 divisors (see below), whose sum is σ = 472276224. Its totient is φ = 74654400.

The previous prime is 205725727. The next prime is 205725757. The reversal of 205725740 is 47527502.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 205725697 and 205725706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199025 + ... + 200055.

It is an arithmetic number, because the mean of its divisors is an integer number (9839088).

Almost surely, 2^205725740 is an apocalyptic number.

205725740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205725740 is an abundant number, since it is smaller than the sum of its proper divisors (266550484).

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

205725740 is a wasteful number, since it uses less digits than its factorization.

205725740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 205725740 is about 14343.1426124124. The cubic root of 205725740 is about 590.3318443454.

The spelling of 205725740 in words is "two hundred five million, seven hundred twenty-five thousand, seven hundred forty".