285434640 has 60 divisors (see below), whose sum is σ = 958587084. Its totient is φ = 76115712.

The previous prime is 285434609. The next prime is 285434651. The reversal of 285434640 is 46434582.

285434640 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 3 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145154304 + 140280336 = 12048^2 + 11844^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 285434595 and 285434604.

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, 197499 + ... + 198938.

Almost surely, 2^285434640 is an apocalyptic number.

285434640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285434640 is an abundant number, since it is smaller than the sum of its proper divisors (673152444).

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

285434640 is a wasteful number, since it uses less digits than its factorization.

285434640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396456 (or 396447 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 285434640 is about 16894.8110377121. The cubic root of 285434640 is about 658.4188044061.

The spelling of 285434640 in words is "two hundred eighty-five million, four hundred thirty-four thousand, six hundred forty".