204734400 has 336 divisors, whose sum is σ = 769888224. Its totient is φ = 47185920.

The previous prime is 204734399. The next prime is 204734401. The reversal of 204734400 is 4437402.

204734400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204734399) and next prime (204734401).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204734401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060704 + ... + 1060896.

It is an arithmetic number, because the mean of its divisors is an integer number (2291334).

Almost surely, 2^204734400 is an apocalyptic number.

204734400 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 204734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384944112).

204734400 is an abundant number, since it is smaller than the sum of its proper divisors (565153824).

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

204734400 is a wasteful number, since it uses less digits than its factorization.

204734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 204734400 is about 14308.5429027557. The cubic root of 204734400 is about 589.3820975235.

It can be divided in two parts, 204 and 734400, that multiplied together give a square (149817600 = 12240²).

The spelling of 204734400 in words is "two hundred four million, seven hundred thirty-four thousand, four hundred".