285997824 has 288 divisors, whose sum is σ = 1012515840. Its totient is φ = 77856768.

The previous prime is 285997793. The next prime is 285997849. The reversal of 285997824 is 428799582.

285997824 = 1252² + 1253² + ... + 1412².

285997824 is a `hidden beast` number, since 28 + 599 + 7 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112704 + ... + 1112960.

It is an arithmetic number, because the mean of its divisors is an integer number (3515680).

Almost surely, 2^285997824 is an apocalyptic number.

285997824 is a gapful number since it is divisible by the number (24) 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 285997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506257920).

285997824 is an abundant number, since it is smaller than the sum of its proper divisors (726518016).

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

285997824 is a wasteful number, since it uses less digits than its factorization.

285997824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 292 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 285997824 is about 16911.4701903767. The cubic root of 285997824 is about 658.8515565108.

The spelling of 285997824 in words is "two hundred eighty-five million, nine hundred ninety-seven thousand, eight hundred twenty-four".