502252800 has 432 divisors, whose sum is σ = 1964790912. Its totient is φ = 110592000.

The previous prime is 502252789. The next prime is 502252801. The reversal of 502252800 is 8252205.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502252801) 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, 4972750 + ... + 4972850.

Almost surely, 2^502252800 is an apocalyptic number.

502252800 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 502252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982395456).

502252800 is an abundant number, since it is smaller than the sum of its proper divisors (1462538112).

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

502252800 is a wasteful number, since it uses less digits than its factorization.

502252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 502252800 is about 22410.9973004327. The cubic root of 502252800 is about 794.8907725416.

The spelling of 502252800 in words is "five hundred two million, two hundred fifty-two thousand, eight hundred".