285509408 has 54 divisors (see below), whose sum is σ = 587854449. Its totient is φ = 136493952.

The previous prime is 285509383. The next prime is 285509429. The reversal of 285509408 is 804905582.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

285509408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 285339664 + 169744 = 16892^2 + 412^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11948.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2771885 + ... + 2771987.

Almost surely, 2^285509408 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 285509408

285509408 is an abundant number, since it is smaller than the sum of its proper divisors (302345041).

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

285509408 is an equidigital number, since it uses as much as digits as its factorization.

285509408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 285509408 is about 16897.0236432337. The cubic root of 285509408 is about 658.4762890891.

Multiplying 285509408 by its product of nonzero digits (115200), we get a square (32890683801600 = 5735040²).

The spelling of 285509408 in words is "two hundred eighty-five million, five hundred nine thousand, four hundred eight".