204451824 has 40 divisors (see below), whose sum is σ = 529546960. Its totient is φ = 67972608.

The previous prime is 204451823. The next prime is 204451829. The reversal of 204451824 is 428154402.

It is a junction number, because it is equal to n+sod(n) for n = 204451791 and 204451800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204451823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13692 + ... + 24420.

It is an arithmetic number, because the mean of its divisors is an integer number (13238674).

Almost surely, 2^204451824 is an apocalyptic number.

204451824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204451824 is an abundant number, since it is smaller than the sum of its proper divisors (325095136).

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

204451824 is a wasteful number, since it uses less digits than its factorization.

204451824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11137 (or 11131 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 204451824 is about 14298.6651125201. The cubic root of 204451824 is about 589.1108161027.

The spelling of 204451824 in words is "two hundred four million, four hundred fifty-one thousand, eight hundred twenty-four".