52903200 has 288 divisors, whose sum is σ = 203986944. Its totient is φ = 11658240.

The previous prime is 52903187. The next prime is 52903217. The reversal of 52903200 is 230925.

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, 789567 + ... + 789633.

It is an arithmetic number, because the mean of its divisors is an integer number (708288).

Almost surely, 2^52903200 is an apocalyptic number.

52903200 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 52903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101993472).

52903200 is an abundant number, since it is smaller than the sum of its proper divisors (151083744).

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

52903200 is a wasteful number, since it uses less digits than its factorization.

52903200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 52903200 is about 7273.4585995935. The cubic root of 52903200 is about 375.3997514897.

The spelling of 52903200 in words is "fifty-two million, nine hundred three thousand, two hundred".