205123464 has 96 divisors (see below), whose sum is σ = 683766720. Its totient is φ = 54096768.

The previous prime is 205123447. The next prime is 205123481. The reversal of 205123464 is 464321502.

It is an interprime number because it is at equal distance from previous prime (205123447) and next prime (205123481).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9102 + ... + 22205.

It is an arithmetic number, because the mean of its divisors is an integer number (7122570).

Almost surely, 2^205123464 is an apocalyptic number.

205123464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205123464 is an abundant number, since it is smaller than the sum of its proper divisors (478643256).

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

205123464 is a wasteful number, since it uses less digits than its factorization.

205123464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31339 (or 31332 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 205123464 is about 14322.1319642014. The cubic root of 205123464 is about 589.7552024763.

Adding to 205123464 its reverse (464321502), we get a palindrome (669444966).

The spelling of 205123464 in words is "two hundred five million, one hundred twenty-three thousand, four hundred sixty-four".