285478416 has 120 divisors (see below), whose sum is σ = 851010264. Its totient is φ = 89026560.

The previous prime is 285478393. The next prime is 285478451. The reversal of 285478416 is 614874582.

285478416 is a `hidden beast` number, since 28 + 547 + 84 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3600 + 285474816 = 60^2 + 16896^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677886 + ... + 678306.

Almost surely, 2^285478416 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 285478416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425505132).

285478416 is an abundant number, since it is smaller than the sum of its proper divisors (565531848).

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

285478416 is a wasteful number, since it uses less digits than its factorization.

285478416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 285478416 is about 16896.1065337550. The cubic root of 285478416 is about 658.4524623954.

It can be divided in two parts, 28547 and 8416, that added together give a palindrome (36963).

The spelling of 285478416 in words is "two hundred eighty-five million, four hundred seventy-eight thousand, four hundred sixteen".