52432400 has 60 divisors (see below), whose sum is σ = 132618000. Its totient is φ = 19866240.

The previous prime is 52432397. The next prime is 52432421. The reversal of 52432400 is 423425.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4151 + ... + 11049.

It is an arithmetic number, because the mean of its divisors is an integer number (2210300).

Almost surely, 2^52432400 is an apocalyptic number.

52432400 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 52432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66309000).

52432400 is an abundant number, since it is smaller than the sum of its proper divisors (80185600).

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

52432400 is a wasteful number, since it uses less digits than its factorization.

52432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 52432400 is about 7241.0220273108. The cubic root of 52432400 is about 374.2828367534.

Adding to 52432400 its reverse (423425), we get a palindrome (52855825).

The spelling of 52432400 in words is "fifty-two million, four hundred thirty-two thousand, four hundred".