285714144 has 72 divisors (see below), whose sum is σ = 818809992. Its totient is φ = 94498560.

The previous prime is 285714133. The next prime is 285714157. The reversal of 285714144 is 441417582.

It is a happy number.

285714144 is a `hidden beast` number, since 2 + 8 + 571 + 41 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 285714099 and 285714108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33942 + ... + 41514.

It is an arithmetic number, because the mean of its divisors is an integer number (11372361).

Almost surely, 2^285714144 is an apocalyptic number.

285714144 is a gapful number since it is divisible by the number (24) 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 285714144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409404996).

285714144 is an abundant number, since it is smaller than the sum of its proper divisors (533095848).

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

285714144 is a wasteful number, since it uses less digits than its factorization.

285714144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7720 (or 7709 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 285714144 is about 16903.0809026047. The cubic root of 285714144 is about 658.6336471142.

The spelling of 285714144 in words is "two hundred eighty-five million, seven hundred fourteen thousand, one hundred forty-four".