204005420 has 48 divisors (see below), whose sum is σ = 454234368. Its totient is φ = 76826880.

The previous prime is 204005387. The next prime is 204005429. The reversal of 204005420 is 24500402.

It is a super-2 number, since 2×204005420² = 83236422778752800, which contains 22 as substring.

204005420 is a modest number, since divided by 5420 gives 2040 as remainder.

It is not an unprimeable number, because it can be changed into a prime (204005429) 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, 18494 + ... + 27386.

It is an arithmetic number, because the mean of its divisors is an integer number (9463216).

Almost surely, 2^204005420 is an apocalyptic number.

204005420 is a gapful number since it is divisible by the number (20) 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 204005420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227117184).

204005420 is an abundant number, since it is smaller than the sum of its proper divisors (250228948).

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

204005420 is a wasteful number, since it uses less digits than its factorization.

204005420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8970 (or 8968 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 204005420 is about 14283.0465937768. The cubic root of 204005420 is about 588.6817450846.

Adding to 204005420 its reverse (24500402), we get a palindrome (228505822).

The spelling of 204005420 in words is "two hundred four million, five thousand, four hundred twenty".