5225234400 has 288 divisors, whose sum is σ = 19303764480. Its totient is φ = 1363484160.

The previous prime is 5225234383. The next prime is 5225234401. The reversal of 5225234400 is 44325225.

It is a happy number.

5225234400 is a `hidden beast` number, since 5 + 2 + 25 + 234 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5225234401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012627 + ... + 1017773.

It is an arithmetic number, because the mean of its divisors is an integer number (67026960).

Almost surely, 2^5225234400 is an apocalyptic number.

5225234400 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 5225234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651882240).

5225234400 is an abundant number, since it is smaller than the sum of its proper divisors (14078530080).

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

5225234400 is a wasteful number, since it uses less digits than its factorization.

5225234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 5225234400 is about 72285.7828345242. The cubic root of 5225234400 is about 1735.2761286519.

Adding to 5225234400 its reverse (44325225), we get a palindrome (5269559625).

The spelling of 5225234400 in words is "five billion, two hundred twenty-five million, two hundred thirty-four thousand, four hundred".