5017238400 has 384 divisors, whose sum is σ = 17824573440. Its totient is φ = 1236787200.

The previous prime is 5017238399. The next prime is 5017238411. The reversal of 5017238400 is 48327105.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6844434 + ... + 6845166.

It is an arithmetic number, because the mean of its divisors is an integer number (46418160).

Almost surely, 2^5017238400 is an apocalyptic number.

5017238400 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 5017238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8912286720).

5017238400 is an abundant number, since it is smaller than the sum of its proper divisors (12807335040).

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

5017238400 is a wasteful number, since it uses less digits than its factorization.

5017238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5017238400 is about 70832.4671319586. The cubic root of 5017238400 is about 1711.9388425470.

The spelling of 5017238400 in words is "five billion, seventeen million, two hundred thirty-eight thousand, four hundred".