285864960 has 176 divisors, whose sum is σ = 940899456. Its totient is φ = 74022912.

The previous prime is 285864949. The next prime is 285864961. The reversal of 285864960 is 69468582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285864961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568069 + ... + 568571.

Almost surely, 2^285864960 is an apocalyptic number.

285864960 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 285864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470449728).

285864960 is an abundant number, since it is smaller than the sum of its proper divisors (655034496).

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

285864960 is a wasteful number, since it uses less digits than its factorization.

285864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 285864960 is about 16907.5415125914. The cubic root of 285864960 is about 658.7495146944.

The spelling of 285864960 in words is "two hundred eighty-five million, eight hundred sixty-four thousand, nine hundred sixty".