285420800 has 216 divisors, whose sum is σ = 845529216. Its totient is φ = 93265920.

The previous prime is 285420797. The next prime is 285420809. The reversal of 285420800 is 8024582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285420809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030262 + ... + 1030538.

Almost surely, 2^285420800 is an apocalyptic number.

285420800 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 285420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422764608).

285420800 is an abundant number, since it is smaller than the sum of its proper divisors (560108416).

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

285420800 is a wasteful number, since it uses less digits than its factorization.

285420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 285420800 is about 16894.4014395302. The cubic root of 285420800 is about 658.4081625495.

It can be divided in two parts, 28 and 5420800, that multiplied together give a square (151782400 = 12320²).

The spelling of 285420800 in words is "two hundred eighty-five million, four hundred twenty thousand, eight hundred".