52300800 has 198 divisors, whose sum is σ = 188086548. Its totient is φ = 13885440.

The previous prime is 52300799. The next prime is 52300817. The reversal of 52300800 is 800325.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230287 + ... + 230513.

Almost surely, 2^52300800 is an apocalyptic number.

52300800 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 52300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94043274).

52300800 is an abundant number, since it is smaller than the sum of its proper divisors (135785748).

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

52300800 is a wasteful number, since it uses less digits than its factorization.

52300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52300800 is about 7231.9292031933. The cubic root of 52300800 is about 373.9694371014.

The spelling of 52300800 in words is "fifty-two million, three hundred thousand, eight hundred".