5002430400 has 840 divisors, whose sum is σ = 20922477840. Its totient is φ = 1170892800.

The previous prime is 5002430393. The next prime is 5002430401. The reversal of 5002430400 is 40342005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5002430401) 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 119 ways as a sum of consecutive naturals, for example, 172497586 + ... + 172497614.

Almost surely, 2^5002430400 is an apocalyptic number.

5002430400 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 5002430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10461238920).

5002430400 is an abundant number, since it is smaller than the sum of its proper divisors (15920047440).

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

5002430400 is a wasteful number, since it uses less digits than its factorization.

5002430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5002430400 is about 70727.8615539873. The cubic root of 5002430400 is about 1710.2529635002.

Adding to 5002430400 its reverse (40342005), we get a palindrome (5042772405).

The spelling of 5002430400 in words is "five billion, two million, four hundred thirty thousand, four hundred".