52347600 has 240 divisors, whose sum is σ = 192815040. Its totient is φ = 13478400.

The previous prime is 52347599. The next prime is 52347601. The reversal of 52347600 is 674325.

It is a happy number.

52347600 is a `hidden beast` number, since 52 + 3 + 4 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (52347599) and next prime (52347601).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52347601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399535 + ... + 399665.

It is an arithmetic number, because the mean of its divisors is an integer number (803396).

Almost surely, 2^52347600 is an apocalyptic number.

52347600 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 52347600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96407520).

52347600 is an abundant number, since it is smaller than the sum of its proper divisors (140467440).

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

52347600 is a wasteful number, since it uses less digits than its factorization.

52347600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 52347600 is about 7235.1641308266. The cubic root of 52347600 is about 374.0809494295.

The spelling of 52347600 in words is "fifty-two million, three hundred forty-seven thousand, six hundred".