52926400 has 84 divisors (see below), whose sum is σ = 137165080. Its totient is φ = 20044800.

The previous prime is 52926359. The next prime is 52926407. The reversal of 52926400 is 462925.

52926400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52926407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29530 + ... + 31270.

Almost surely, 2^52926400 is an apocalyptic number.

52926400 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 52926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68582540).

52926400 is an abundant number, since it is smaller than the sum of its proper divisors (84238680).

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

52926400 is a wasteful number, since it uses less digits than its factorization.

52926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 52926400 is about 7275.0532644098. The cubic root of 52926400 is about 375.4546190051.

The spelling of 52926400 in words is "fifty-two million, nine hundred twenty-six thousand, four hundred".