285430560 has 96 divisors (see below), whose sum is σ = 920082240. Its totient is φ = 74339328.

The previous prime is 285430549. The next prime is 285430567. The reversal of 285430560 is 65034582.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (285430567) 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, 13726 + ... + 27554.

It is an arithmetic number, because the mean of its divisors is an integer number (9584190).

Almost surely, 2^285430560 is an apocalyptic number.

285430560 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 285430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460041120).

285430560 is an abundant number, since it is smaller than the sum of its proper divisors (634651680).

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

285430560 is a wasteful number, since it uses less digits than its factorization.

285430560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13890 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 285430560 is about 16894.6902901474. The cubic root of 285430560 is about 658.4156672471.

The spelling of 285430560 in words is "two hundred eighty-five million, four hundred thirty thousand, five hundred sixty".