5244524400 has 480 divisors, whose sum is σ = 18842365440. Its totient is φ = 1240842240.

The previous prime is 5244524399. The next prime is 5244524407. The reversal of 5244524400 is 44254425.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5244524407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38281132 + ... + 38281268.

It is an arithmetic number, because the mean of its divisors is an integer number (39254928).

Almost surely, 2^5244524400 is an apocalyptic number.

5244524400 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 5244524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9421182720).

5244524400 is an abundant number, since it is smaller than the sum of its proper divisors (13597841040).

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

5244524400 is a wasteful number, since it uses less digits than its factorization.

5244524400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 5244524400 is about 72419.0886438099. The cubic root of 5244524400 is about 1737.4088795097.

Adding to 5244524400 its reverse (44254425), we get a palindrome (5288778825).

It can be divided in two parts, 5244 and 524400, that multiplied together give a square (2749953600 = 52440²).

The spelling of 5244524400 in words is "five billion, two hundred forty-four million, five hundred twenty-four thousand, four hundred".