5250414400 has 336 divisors, whose sum is σ = 16962485760. Its totient is φ = 1549670400.

The previous prime is 5250414341. The next prime is 5250414409. The reversal of 5250414400 is 44140525.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5250414409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2339679 + ... + 2341921.

Almost surely, 2^5250414400 is an apocalyptic number.

5250414400 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 5250414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481242880).

5250414400 is an abundant number, since it is smaller than the sum of its proper divisors (11712071360).

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

5250414400 is a wasteful number, since it uses less digits than its factorization.

5250414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5250414400 is about 72459.7433061973. The cubic root of 5250414400 is about 1738.0590503017.

Adding to 5250414400 its reverse (44140525), we get a palindrome (5294554925).

The spelling of 5250414400 in words is "five billion, two hundred fifty million, four hundred fourteen thousand, four hundred".