52399200 has 144 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 11973120.

The previous prime is 52399153. The next prime is 52399211. The reversal of 52399200 is 299325.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15241 + ... + 18359.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^52399200 is an apocalyptic number.

52399200 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 52399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

52399200 is an abundant number, since it is smaller than the sum of its proper divisors (142588320).

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

52399200 is a wasteful number, since it uses less digits than its factorization.

52399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 52399200 is about 7238.7291702342. The cubic root of 52399200 is about 374.2038219086.

The spelling of 52399200 in words is "fifty-two million, three hundred ninety-nine thousand, two hundred".