205007264 has 192 divisors, whose sum is σ = 551577600. Its totient is φ = 72576000.

The previous prime is 205007251. The next prime is 205007281. The reversal of 205007264 is 462700502.

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, 1357589 + ... + 1357739.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^205007264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205007264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

205007264 is an abundant number, since it is smaller than the sum of its proper divisors (346570336).

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

205007264 is a wasteful number, since it uses less digits than its factorization.

205007264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 205007264 is about 14318.0747309127. The cubic root of 205007264 is about 589.6438183410.

Adding to 205007264 its reverse (462700502), we get a palindrome (667707766).

The spelling of 205007264 in words is "two hundred five million, seven thousand, two hundred sixty-four".