205872240 has 320 divisors, whose sum is σ = 777093120. Its totient is φ = 44098560.

The previous prime is 205872221. The next prime is 205872253. The reversal of 205872240 is 42278502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 205872198 and 205872207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3072687 + ... + 3072753.

It is an arithmetic number, because the mean of its divisors is an integer number (2428416).

Almost surely, 2^205872240 is an apocalyptic number.

205872240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205872240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388546560).

205872240 is an abundant number, since it is smaller than the sum of its proper divisors (571220880).

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

205872240 is a wasteful number, since it uses less digits than its factorization.

205872240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 205872240 is about 14348.2486736187. The cubic root of 205872240 is about 590.4719387815.

The spelling of 205872240 in words is "two hundred five million, eight hundred seventy-two thousand, two hundred forty".