52550400 has 432 divisors, whose sum is σ = 218985984. Its totient is φ = 10813440.

The previous prime is 52550389. The next prime is 52550411. The reversal of 52550400 is 405525.

It is an interprime number because it is at equal distance from previous prime (52550389) and next prime (52550411).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2284789 + ... + 2284811.

It is an arithmetic number, because the mean of its divisors is an integer number (506912).

Almost surely, 2^52550400 is an apocalyptic number.

52550400 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 52550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109492992).

52550400 is an abundant number, since it is smaller than the sum of its proper divisors (166435584).

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

52550400 is a wasteful number, since it uses less digits than its factorization.

52550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 52550400 is about 7249.1654692109. The cubic root of 52550400 is about 374.5634029965.

Adding to 52550400 its reverse (405525), we get a palindrome (52955925).

The spelling of 52550400 in words is "fifty-two million, five hundred fifty thousand, four hundred".