5903094400 has 192 divisors, whose sum is σ = 17205327360. Its totient is φ = 1958400000.

The previous prime is 5903094383. The next prime is 5903094419. The reversal of 5903094400 is 44903095.

It is a super-2 number, since 2×5903094400² = 69693046990622720000, which contains 22 as substring.

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, 690150 + ... + 698650.

It is an arithmetic number, because the mean of its divisors is an integer number (89611080).

Almost surely, 2^5903094400 is an apocalyptic number.

5903094400 is a gapful number since it is divisible by the number (50) 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 5903094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8602663680).

5903094400 is an abundant number, since it is smaller than the sum of its proper divisors (11302232960).

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

5903094400 is a wasteful number, since it uses less digits than its factorization.

5903094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8563 (or 8546 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 5903094400 is about 76831.5976665851. The cubic root of 5903094400 is about 1807.2847171869.

Adding to 5903094400 its reverse (44903095), we get a palindrome (5947997495).

The spelling of 5903094400 in words is "five billion, nine hundred three million, ninety-four thousand, four hundred".