204374496 has 48 divisors (see below), whose sum is σ = 540739584. Its totient is φ = 67584384.

The previous prime is 204374477. The next prime is 204374497. The reversal of 204374496 is 694473402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204374497) 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 7 ways as a sum of consecutive naturals, for example, 3811 + ... + 20573.

It is an arithmetic number, because the mean of its divisors is an integer number (11265408).

Almost surely, 2^204374496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204374496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270369792).

204374496 is an abundant number, since it is smaller than the sum of its proper divisors (336365088).

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

204374496 is a wasteful number, since it uses less digits than its factorization.

204374496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16903 (or 16895 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 204374496 is about 14295.9608281500. The cubic root of 204374496 is about 589.0365353508.

The spelling of 204374496 in words is "two hundred four million, three hundred seventy-four thousand, four hundred ninety-six".