52326400 has 156 divisors (see below), whose sum is σ = 150321232. Its totient is φ = 17694720.

The previous prime is 52326389. The next prime is 52326427. The reversal of 52326400 is 462325.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716764 + ... + 716836.

Almost surely, 2^52326400 is an apocalyptic number.

52326400 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 52326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75160616).

52326400 is an abundant number, since it is smaller than the sum of its proper divisors (97994832).

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

52326400 is an equidigital number, since it uses as much as digits as its factorization.

52326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 52326400 is about 7233.6989154927. The cubic root of 52326400 is about 374.0304435359.

Adding to 52326400 its reverse (462325), we get a palindrome (52788725).

The spelling of 52326400 in words is "fifty-two million, three hundred twenty-six thousand, four hundred".