204220464 has 80 divisors (see below), whose sum is σ = 619269888. Its totient is φ = 56768256.

The previous prime is 204220463. The next prime is 204220477. The reversal of 204220464 is 464022402.

204220464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (204220463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4219 + ... + 20645.

Almost surely, 2^204220464 is an apocalyptic number.

204220464 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 204220464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309634944).

204220464 is an abundant number, since it is smaller than the sum of its proper divisors (415049424).

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

204220464 is a wasteful number, since it uses less digits than its factorization.

204220464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16482 (or 16476 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 204220464 is about 14290.5725567592. The cubic root of 204220464 is about 588.8885174055. Note that the first 3 decimals are identical.

Adding to 204220464 its reverse (464022402), we get a palindrome (668242866).

The spelling of 204220464 in words is "two hundred four million, two hundred twenty thousand, four hundred sixty-four".