204400240 has 80 divisors (see below), whose sum is σ = 520680960. Its totient is φ = 74005760.

The previous prime is 204400187. The next prime is 204400253. The reversal of 204400240 is 42004402.

204400240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×204400240² = 83558916224115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315597 + ... + 316243.

It is an arithmetic number, because the mean of its divisors is an integer number (6508512).

Almost surely, 2^204400240 is an apocalyptic number.

204400240 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 204400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260340480).

204400240 is an abundant number, since it is smaller than the sum of its proper divisors (316280720).

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

204400240 is a wasteful number, since it uses less digits than its factorization.

204400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 204400240 is about 14296.8611939824. The cubic root of 204400240 is about 589.0612669427.

Adding to 204400240 its reverse (42004402), we get a palindrome (246404642).

The spelling of 204400240 in words is "two hundred four million, four hundred thousand, two hundred forty".