204819840 has 224 divisors, whose sum is σ = 735807600. Its totient is φ = 54494208.

The previous prime is 204819833. The next prime is 204819841. The reversal of 204819840 is 48918402.

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

It is a junction number, because it is equal to n+sod(n) for n = 204819795 and 204819804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204819841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466341 + ... + 466779.

Almost surely, 2^204819840 is an apocalyptic number.

204819840 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 204819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367903800).

204819840 is an abundant number, since it is smaller than the sum of its proper divisors (530987760).

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

204819840 is an frugal number, since it uses more digits than its factorization.

204819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 204819840 is about 14311.5282202845. The cubic root of 204819840 is about 589.4640733306.

The spelling of 204819840 in words is "two hundred four million, eight hundred nineteen thousand, eight hundred forty".