5252342400 has 768 divisors, whose sum is σ = 20762956800. Its totient is φ = 1293926400.

The previous prime is 5252342357. The next prime is 5252342441. The reversal of 5252342400 is 42432525.

It is a happy number.

5252342400 is a `hidden beast` number, since 5 + 25 + 234 + 2 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99100774 + ... + 99100826.

It is an arithmetic number, because the mean of its divisors is an integer number (27035100).

Almost surely, 2^5252342400 is an apocalyptic number.

5252342400 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 5252342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10381478400).

5252342400 is an abundant number, since it is smaller than the sum of its proper divisors (15510614400).

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

5252342400 is a wasteful number, since it uses less digits than its factorization.

5252342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

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

The square root of 5252342400 is about 72473.0460240219. The cubic root of 5252342400 is about 1738.2717679723.

Adding to 5252342400 its reverse (42432525), we get a palindrome (5294774925).

The spelling of 5252342400 in words is "five billion, two hundred fifty-two million, three hundred forty-two thousand, four hundred".