5317282400 has 72 divisors (see below), whose sum is σ = 12993324624. Its totient is φ = 2124864000.

The previous prime is 5317282367. The next prime is 5317282417. The reversal of 5317282400 is 42827135.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1039850 + ... + 1044950.

It is an arithmetic number, because the mean of its divisors is an integer number (180462842).

Almost surely, 2^5317282400 is an apocalyptic number.

5317282400 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 5317282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496662312).

5317282400 is an abundant number, since it is smaller than the sum of its proper divisors (7676042224).

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

5317282400 is a wasteful number, since it uses less digits than its factorization.

5317282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6411 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 5317282400 is about 72919.6982988822. The cubic root of 5317282400 is about 1745.4064454995.

The spelling of 5317282400 in words is "five billion, three hundred seventeen million, two hundred eighty-two thousand, four hundred".