5304432000 has 256 divisors, whose sum is σ = 20097492480. Its totient is φ = 1212364800.

The previous prime is 5304431981. The next prime is 5304432059. The reversal of 5304432000 is 2344035.

It is a happy number.

It is a super-3 number, since 3×5304432000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328107 + ... + 343893.

It is an arithmetic number, because the mean of its divisors is an integer number (78505830).

Almost surely, 2^5304432000 is an apocalyptic number.

5304432000 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 5304432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10048746240).

5304432000 is an abundant number, since it is smaller than the sum of its proper divisors (14793060480).

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

5304432000 is a wasteful number, since it uses less digits than its factorization.

5304432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15826 (or 15804 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 5304432000 is about 72831.5316329404. The cubic root of 5304432000 is about 1743.9992565157. Note that the first 3 decimals are identical.

Adding to 5304432000 its reverse (2344035), we get a palindrome (5306776035).

The spelling of 5304432000 in words is "five billion, three hundred four million, four hundred thirty-two thousand".