203040000 has 360 divisors, whose sum is σ = 766254720. Its totient is φ = 52992000.

The previous prime is 203039983. The next prime is 203040007. The reversal of 203040000 is 40302.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203040007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319977 + ... + 4320023.

Almost surely, 2^203040000 is an apocalyptic number.

203040000 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 203040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383127360).

203040000 is an abundant number, since it is smaller than the sum of its proper divisors (563214720).

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

203040000 is an frugal number, since it uses more digits than its factorization.

203040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 203040000 is about 14249.2105044455. The cubic root of 203040000 is about 587.7516652293.

Adding to 203040000 its reverse (40302), we get a palindrome (203080302).

The spelling of 203040000 in words is "two hundred three million, forty thousand".