285165440 has 128 divisors (see below), whose sum is σ = 794473920. Its totient is φ = 95846400.

The previous prime is 285165427. The next prime is 285165443. The reversal of 285165440 is 44561582.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 285165440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285165443) 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, 236840 + ... + 238040.

Almost surely, 2^285165440 is an apocalyptic number.

285165440 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 285165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397236960).

285165440 is an abundant number, since it is smaller than the sum of its proper divisors (509308480).

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

285165440 is a wasteful number, since it uses less digits than its factorization.

285165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 285165440 is about 16886.8422151686. The cubic root of 285165440 is about 658.2117493069.

The spelling of 285165440 in words is "two hundred eighty-five million, one hundred sixty-five thousand, four hundred forty".