285254144 has 160 divisors (see below), whose sum is σ = 707097600. Its totient is φ = 112250880.

The previous prime is 285254129. The next prime is 285254147. The reversal of 285254144 is 441452582.

It is a super-3 number, since 3×285254144³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285254147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4017629 + ... + 4017699.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2^285254144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353548800).

285254144 is an abundant number, since it is smaller than the sum of its proper divisors (421843456).

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

285254144 is an equidigital number, since it uses as much as digits as its factorization.

285254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its digits is 51200, while the sum is 35.

The square root of 285254144 is about 16889.4684345008. The cubic root of 285254144 is about 658.2799903511.

The spelling of 285254144 in words is "two hundred eighty-five million, two hundred fifty-four thousand, one hundred forty-four".