5224314400 has 72 divisors (see below), whose sum is σ = 12810000420. Its totient is φ = 2080527360.

The previous prime is 5224314371. The next prime is 5224314409. The reversal of 5224314400 is 44134225.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4198521616 + 1025792784 = 64796^2 + 32028^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5224314409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168942 + ... + 197458.

Almost surely, 2^5224314400 is an apocalyptic number.

5224314400 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 5224314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6405000210).

5224314400 is an abundant number, since it is smaller than the sum of its proper divisors (7585686020).

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

5224314400 is a wasteful number, since it uses less digits than its factorization.

5224314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28766 (or 28753 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 5224314400 is about 72279.4189240616. The cubic root of 5224314400 is about 1735.1742800954.

Adding to 5224314400 its reverse (44134225), we get a palindrome (5268448625).

The spelling of 5224314400 in words is "five billion, two hundred twenty-four million, three hundred fourteen thousand, four hundred".