285961440 has 96 divisors (see below), whose sum is σ = 913229856. Its totient is φ = 75202560.

The previous prime is 285961433. The next prime is 285961441. The reversal of 285961440 is 44169582.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285961441) 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, 30960 + ... + 39120.

It is an arithmetic number, because the mean of its divisors is an integer number (9512811).

Almost surely, 2^285961440 is an apocalyptic number.

285961440 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 285961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456614928).

285961440 is an abundant number, since it is smaller than the sum of its proper divisors (627268416).

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

285961440 is a wasteful number, since it uses less digits than its factorization.

285961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8252 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 285961440 is about 16910.3944365588. The cubic root of 285961440 is about 658.8236161214.

The spelling of 285961440 in words is "two hundred eighty-five million, nine hundred sixty-one thousand, four hundred forty".