52850400 has 216 divisors, whose sum is σ = 184535064. Its totient is φ = 13132800.

The previous prime is 52850359. The next prime is 52850401. The reversal of 52850400 is 405825.

52850400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52850401) 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, 866370 + ... + 866430.

It is an arithmetic number, because the mean of its divisors is an integer number (854329).

Almost surely, 2^52850400 is an apocalyptic number.

52850400 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 52850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92267532).

52850400 is an abundant number, since it is smaller than the sum of its proper divisors (131684664).

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

52850400 is a wasteful number, since it uses less digits than its factorization.

52850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 52850400 is about 7269.8280584894. The cubic root of 52850400 is about 375.2748207691.

The spelling of 52850400 in words is "fifty-two million, eight hundred fifty thousand, four hundred".