285849408 has 112 divisors (see below), whose sum is σ = 826471296. Its totient is φ = 86661120.

The previous prime is 285849401. The next prime is 285849409. The reversal of 285849408 is 804948582.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285849401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176410 + ... + 178022.

It is an arithmetic number, because the mean of its divisors is an integer number (7379208).

Almost surely, 2^285849408 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 285849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413235648).

285849408 is an abundant number, since it is smaller than the sum of its proper divisors (540621888).

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

285849408 is a wasteful number, since it uses less digits than its factorization.

285849408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 285849408 is about 16907.0815932260. The cubic root of 285849408 is about 658.7375684265.

The spelling of 285849408 in words is "two hundred eighty-five million, eight hundred forty-nine thousand, four hundred eight".