205274664 has 48 divisors (see below), whose sum is σ = 635375520. Its totient is φ = 58649760.

The previous prime is 205274623. The next prime is 205274683. The reversal of 205274664 is 466472502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203142 + ... + 204149.

It is an arithmetic number, because the mean of its divisors is an integer number (13236990).

Almost surely, 2^205274664 is an apocalyptic number.

205274664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205274664 is an abundant number, since it is smaller than the sum of its proper divisors (430100856).

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

205274664 is a wasteful number, since it uses less digits than its factorization.

205274664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407310 (or 407303 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 205274664 is about 14327.4095355720. The cubic root of 205274664 is about 589.9000730890.

The spelling of 205274664 in words is "two hundred five million, two hundred seventy-four thousand, six hundred sixty-four".