52467200 has 60 divisors (see below), whose sum is σ = 130023300. Its totient is φ = 20981760.

The previous prime is 52467199. The next prime is 52467257. The reversal of 52467200 is 276425.

It is a self number, because there is not a number n which added to its sum of digits gives 52467200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10751 + ... + 14849.

It is an arithmetic number, because the mean of its divisors is an integer number (2167055).

Almost surely, 2^52467200 is an apocalyptic number.

52467200 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 52467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65011650).

52467200 is an abundant number, since it is smaller than the sum of its proper divisors (77556100).

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

52467200 is an equidigital number, since it uses as much as digits as its factorization.

52467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 52467200 is about 7243.4246044257. The cubic root of 52467200 is about 374.3656237462.

The spelling of 52467200 in words is "fifty-two million, four hundred sixty-seven thousand, two hundred".