205381440 has 224 divisors, whose sum is σ = 790773120. Its totient is φ = 49766400.

The previous prime is 205381433. The next prime is 205381481. The reversal of 205381440 is 44183502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93960 + ... + 96120.

Almost surely, 2^205381440 is an apocalyptic number.

205381440 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 205381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395386560).

205381440 is an abundant number, since it is smaller than the sum of its proper divisors (585391680).

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

205381440 is a wasteful number, since it uses less digits than its factorization.

205381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 205381440 is about 14331.1353353459. The cubic root of 205381440 is about 590.0023364841.

The spelling of 205381440 in words is "two hundred five million, three hundred eighty-one thousand, four hundred forty".