285411744 has 72 divisors (see below), whose sum is σ = 817139232. Its totient is φ = 94492800.

The previous prime is 285411743. The next prime is 285411779. The reversal of 285411744 is 447114582.

It is a happy number.

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

It is a super-2 number, since 2×285411744² = 162919727226243072, which contains 22 as substring.

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 = 285411699 and 285411708.

It is not an unprimeable number, because it can be changed into a prime (285411743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40207 + ... + 46769.

It is an arithmetic number, because the mean of its divisors is an integer number (11349156).

Almost surely, 2^285411744 is an apocalyptic number.

285411744 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 285411744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408569616).

285411744 is an abundant number, since it is smaller than the sum of its proper divisors (531727488).

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

285411744 is a wasteful number, since it uses less digits than its factorization.

285411744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 6719 counting only the distinct ones).

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

The square root of 285411744 is about 16894.1334196223. The cubic root of 285411744 is about 658.4011990212.

The spelling of 285411744 in words is "two hundred eighty-five million, four hundred eleven thousand, seven hundred forty-four".