205025940 has 288 divisors, whose sum is σ = 763176960. Its totient is φ = 43545600.

The previous prime is 205025939. The next prime is 205025981. The reversal of 205025940 is 49520502.

205025940 is a `hidden beast` number, since 20 + 50 + 2 + 594 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1132650 + ... + 1132830.

It is an arithmetic number, because the mean of its divisors is an integer number (2649920).

Almost surely, 2^205025940 is an apocalyptic number.

205025940 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 205025940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381588480).

205025940 is an abundant number, since it is smaller than the sum of its proper divisors (558151020).

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

205025940 is a wasteful number, since it uses less digits than its factorization.

205025940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 205025940 is about 14318.7268987155. The cubic root of 205025940 is about 589.6617231595.

The spelling of 205025940 in words is "two hundred five million, twenty-five thousand, nine hundred forty".