205219464 has 64 divisors (see below), whose sum is σ = 535982400. Its totient is φ = 65412864.

The previous prime is 205219463. The next prime is 205219477. The reversal of 205219464 is 464912502.

205219464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205219463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50434 + ... + 54350.

It is an arithmetic number, because the mean of its divisors is an integer number (8374725).

Almost surely, 2^205219464 is an apocalyptic number.

205219464 is a gapful number since it is divisible by the number (24) 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 205219464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267991200).

205219464 is an abundant number, since it is smaller than the sum of its proper divisors (330762936).

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

205219464 is a wasteful number, since it uses less digits than its factorization.

205219464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 205219464 is about 14325.4830285055. The cubic root of 205219464 is about 589.8471920651.

The spelling of 205219464 in words is "two hundred five million, two hundred nineteen thousand, four hundred sixty-four".