5205314400 has 576 divisors, whose sum is σ = 20631179520. Its totient is φ = 1122508800.

The previous prime is 5205314393. The next prime is 5205314453. The reversal of 5205314400 is 44135025.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9952539 + ... + 9953061.

It is an arithmetic number, because the mean of its divisors is an integer number (35818020).

Almost surely, 2^5205314400 is an apocalyptic number.

5205314400 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 5205314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315589760).

5205314400 is an abundant number, since it is smaller than the sum of its proper divisors (15425865120).

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

5205314400 is a wasteful number, since it uses less digits than its factorization.

5205314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5205314400 is about 72147.8648332714. The cubic root of 5205314400 is about 1733.0682073123.

Adding to 5205314400 its reverse (44135025), we get a palindrome (5249449425).

The spelling of 5205314400 in words is "five billion, two hundred five million, three hundred fourteen thousand, four hundred".