205172440 has 48 divisors (see below), whose sum is σ = 507432240. Its totient is φ = 74606400.

The previous prime is 205172423. The next prime is 205172447. The reversal of 205172440 is 44271502.

205172440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205172447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16356 + ... + 26035.

It is an arithmetic number, because the mean of its divisors is an integer number (10571505).

Almost surely, 2^205172440 is an apocalyptic number.

205172440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205172440 is an abundant number, since it is smaller than the sum of its proper divisors (302259800).

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

205172440 is a wasteful number, since it uses less digits than its factorization.

205172440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42424 (or 42409 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 205172440 is about 14323.8416634644. The cubic root of 205172440 is about 589.8021360835.

The spelling of 205172440 in words is "two hundred five million, one hundred seventy-two thousand, four hundred forty".