5024614400 has 144 divisors (see below), whose sum is σ = 13418086500. Its totient is φ = 1854996480.

The previous prime is 5024614373. The next prime is 5024614403. The reversal of 5024614400 is 44164205.

It can be written as a sum of positive squares in 6 ways, for example, as 1754604544 + 3270009856 = 41888^2 + 57184^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 5024614400.

It is not an unprimeable number, because it can be changed into a prime (5024614403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661826 + ... + 669374.

Almost surely, 2^5024614400 is an apocalyptic number.

5024614400 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 5024614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709043250).

5024614400 is an abundant number, since it is smaller than the sum of its proper divisors (8393472100).

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

5024614400 is a wasteful number, since it uses less digits than its factorization.

5024614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 5024614400 is about 70884.5145289153. The cubic root of 5024614400 is about 1712.7773568208. Note that the first 3 decimals are identical.

Adding to 5024614400 its reverse (44164205), we get a palindrome (5068778605).

It can be divided in two parts, 50246 and 14400, that added together give a palindrome (64646).

The spelling of 5024614400 in words is "five billion, twenty-four million, six hundred fourteen thousand, four hundred".