204503040 has 288 divisors, whose sum is σ = 812579040. Its totient is φ = 46596096.

The previous prime is 204503029. The next prime is 204503053. The reversal of 204503040 is 40305402.

It is a happy number.

204503040 is digitally balanced in base 3, 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644962 + ... + 645278.

It is an arithmetic number, because the mean of its divisors is an integer number (2821455).

Almost surely, 2^204503040 is an apocalyptic number.

204503040 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 204503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406289520).

204503040 is an abundant number, since it is smaller than the sum of its proper divisors (608076000).

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

204503040 is a wasteful number, since it uses less digits than its factorization.

204503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 204503040 is about 14300.4559367875. The cubic root of 204503040 is about 589.1600035346.

Adding to 204503040 its reverse (40305402), we get a palindrome (244808442).

The spelling of 204503040 in words is "two hundred four million, five hundred three thousand, forty".