205897440 has 192 divisors, whose sum is σ = 747242496. Its totient is φ = 46682112.

The previous prime is 205897429. The next prime is 205897441. The reversal of 205897440 is 44798502.

205897440 is digitally balanced in base 2, 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 (205897441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782749 + ... + 783011.

It is an arithmetic number, because the mean of its divisors is an integer number (3891888).

Almost surely, 2^205897440 is an apocalyptic number.

205897440 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 205897440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373621248).

205897440 is an abundant number, since it is smaller than the sum of its proper divisors (541345056).

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

205897440 is a wasteful number, since it uses less digits than its factorization.

205897440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 205897440 is about 14349.1268027013. The cubic root of 205897440 is about 590.4960302370.

The spelling of 205897440 in words is "two hundred five million, eight hundred ninety-seven thousand, four hundred forty".