205397808 has 240 divisors, whose sum is σ = 714489984. Its totient is φ = 50104320.

The previous prime is 205397783. The next prime is 205397827. The reversal of 205397808 is 808793502.

205397808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 205397808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439591 + ... + 440057.

Almost surely, 2^205397808 is an apocalyptic number.

205397808 is a gapful number since it is divisible by the number (28) 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 205397808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357244992).

205397808 is an abundant number, since it is smaller than the sum of its proper divisors (509092176).

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

205397808 is a wasteful number, since it uses less digits than its factorization.

205397808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 205397808 is about 14331.7063882847. The cubic root of 205397808 is about 590.0180096006.

The spelling of 205397808 in words is "two hundred five million, three hundred ninety-seven thousand, eight hundred eight".