285724200 has 96 divisors (see below), whose sum is σ = 890568000. Its totient is φ = 75778560.

The previous prime is 285724199. The next prime is 285724213. The reversal of 285724200 is 2427582.

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

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, 118204 + ... + 120596.

It is an arithmetic number, because the mean of its divisors is an integer number (9276750).

Almost surely, 2^285724200 is an apocalyptic number.

285724200 is a gapful number since it is divisible by the number (20) 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 285724200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445284000).

285724200 is an abundant number, since it is smaller than the sum of its proper divisors (604843800).

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

285724200 is a wasteful number, since it uses less digits than its factorization.

285724200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 285724200 is about 16903.3783605527. The cubic root of 285724200 is about 658.6413741173.

The spelling of 285724200 in words is "two hundred eighty-five million, seven hundred twenty-four thousand, two hundred".