285472800 has 216 divisors, whose sum is σ = 1039933440. Its totient is φ = 73612800.

The previous prime is 285472799. The next prime is 285472813. The reversal of 285472800 is 8274582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222561 + ... + 223839.

Almost surely, 2^285472800 is an apocalyptic number.

285472800 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 285472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519966720).

285472800 is an abundant number, since it is smaller than the sum of its proper divisors (754460640).

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

285472800 is a wasteful number, since it uses less digits than its factorization.

285472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 285472800 is about 16895.9403408038. The cubic root of 285472800 is about 658.4481446221.

The spelling of 285472800 in words is "two hundred eighty-five million, four hundred seventy-two thousand, eight hundred".