5352242400 has 432 divisors, whose sum is σ = 20004500880. Its totient is φ = 1381017600.

The previous prime is 5352242381. The next prime is 5352242461. The reversal of 5352242400 is 42422535.

It is a happy number.

5352242400 is a `hidden beast` number, since 5 + 35 + 224 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29570310 + ... + 29570490.

It is an arithmetic number, because the mean of its divisors is an integer number (46306715).

Almost surely, 2^5352242400 is an apocalyptic number.

5352242400 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 5352242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10002250440).

5352242400 is an abundant number, since it is smaller than the sum of its proper divisors (14652258480).

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

5352242400 is a wasteful number, since it uses less digits than its factorization.

5352242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 228 counting only the distinct ones).

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

The square root of 5352242400 is about 73159.0213165813. The cubic root of 5352242400 is about 1749.2233179303.

Adding to 5352242400 its reverse (42422535), we get a palindrome (5394664935).

The spelling of 5352242400 in words is "five billion, three hundred fifty-two million, two hundred forty-two thousand, four hundred".