5017830400 has 264 divisors, whose sum is σ = 13779814464. Its totient is φ = 1796505600.

The previous prime is 5017830379. The next prime is 5017830409. The reversal of 5017830400 is 40387105.

It is not an unprimeable number, because it can be changed into a prime (5017830409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29004714 + ... + 29004886.

Almost surely, 2^5017830400 is an apocalyptic number.

5017830400 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 5017830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889907232).

5017830400 is an abundant number, since it is smaller than the sum of its proper divisors (8761984064).

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

5017830400 is a wasteful number, since it uses less digits than its factorization.

5017830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 5017830400 is about 70836.6458833279. The cubic root of 5017830400 is about 1712.0061722781.

The spelling of 5017830400 in words is "five billion, seventeen million, eight hundred thirty thousand, four hundred".