52522400 has 144 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 17633280.

The previous prime is 52522387. The next prime is 52522411. The reversal of 52522400 is 422525.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 464744 + ... + 464856.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^52522400 is an apocalyptic number.

52522400 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 52522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

52522400 is an abundant number, since it is smaller than the sum of its proper divisors (97093024).

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

52522400 is a wasteful number, since it uses less digits than its factorization.

52522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 52522400 is about 7247.2339551031. The cubic root of 52522400 is about 374.4968659924.

Adding to 52522400 its reverse (422525), we get a palindrome (52944925).

The spelling of 52522400 in words is "fifty-two million, five hundred twenty-two thousand, four hundred".