52406400 has 192 divisors, whose sum is σ = 177577920. Its totient is φ = 13578240.

The previous prime is 52406383. The next prime is 52406401. The reversal of 52406400 is 460425.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52406401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508749 + ... + 508851.

It is an arithmetic number, because the mean of its divisors is an integer number (924885).

Almost surely, 2^52406400 is an apocalyptic number.

52406400 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 52406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88788960).

52406400 is an abundant number, since it is smaller than the sum of its proper divisors (125171520).

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

52406400 is a wasteful number, since it uses less digits than its factorization.

52406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 52406400 is about 7239.2264780155. The cubic root of 52406400 is about 374.2209604917.

Adding to 52406400 its reverse (460425), we get a palindrome (52866825).

The spelling of 52406400 in words is "fifty-two million, four hundred six thousand, four hundred".