52682400 has 216 divisors, whose sum is σ = 193362624. Its totient is φ = 13996800.

The previous prime is 52682389. The next prime is 52682401. The reversal of 52682400 is 428625.

52682400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52682401) 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 35 ways as a sum of consecutive naturals, for example, 194265 + ... + 194535.

Almost surely, 2^52682400 is an apocalyptic number.

52682400 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 52682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96681312).

52682400 is an abundant number, since it is smaller than the sum of its proper divisors (140680224).

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

52682400 is a wasteful number, since it uses less digits than its factorization.

52682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52682400 is about 7258.2642553161. The cubic root of 52682400 is about 374.8767595025.

The spelling of 52682400 in words is "fifty-two million, six hundred eighty-two thousand, four hundred".