285120000 has 500 divisors, whose sum is σ = 1160094276. Its totient is φ = 69120000.

The previous prime is 285119987. The next prime is 285120047. The reversal of 285120000 is 21582.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25919995 + ... + 25920005.

Almost surely, 2^285120000 is an apocalyptic number.

285120000 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 285120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580047138).

285120000 is an abundant number, since it is smaller than the sum of its proper divisors (874974276).

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

285120000 is an frugal number, since it uses more digits than its factorization.

285120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 285120000 is about 16885.4967353643. The cubic root of 285120000 is about 658.1767862919.

Adding to 285120000 its reverse (21582), we get a palindrome (285141582).

The spelling of 285120000 in words is "two hundred eighty-five million, one hundred twenty thousand".