285954560 has 80 divisors (see below), whose sum is σ = 721828800. Its totient is φ = 108343296.

The previous prime is 285954551. The next prime is 285954563. The reversal of 285954560 is 65459582.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285954563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45701 + ... + 51579.

It is an arithmetic number, because the mean of its divisors is an integer number (9022860).

Almost surely, 2^285954560 is an apocalyptic number.

285954560 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 285954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360914400).

285954560 is an abundant number, since it is smaller than the sum of its proper divisors (435874240).

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

285954560 is an equidigital number, since it uses as much as digits as its factorization.

285954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The square root of 285954560 is about 16910.1910101572. The cubic root of 285954560 is about 658.8183324920.

The spelling of 285954560 in words is "two hundred eighty-five million, nine hundred fifty-four thousand, five hundred sixty".