205770240 has 320 divisors, whose sum is σ = 790574400. Its totient is φ = 50429952.

The previous prime is 205770233. The next prime is 205770251. The reversal of 205770240 is 42077502.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 898446 + ... + 898674.

It is an arithmetic number, because the mean of its divisors is an integer number (2470545).

Almost surely, 2^205770240 is an apocalyptic number.

205770240 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 205770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395287200).

205770240 is an abundant number, since it is smaller than the sum of its proper divisors (584804160).

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

205770240 is a wasteful number, since it uses less digits than its factorization.

205770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 205770240 is about 14344.6937924795. The cubic root of 205770240 is about 590.3744056589.

The spelling of 205770240 in words is "two hundred five million, seven hundred seventy thousand, two hundred forty".