285630240 has 96 divisors (see below), whose sum is σ = 1028280960. Its totient is φ = 65286144.

The previous prime is 285630223. The next prime is 285630253. The reversal of 285630240 is 42036582.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 285630198 and 285630207.

It is an unprimeable number.

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, 39145 + ... + 45864.

It is an arithmetic number, because the mean of its divisors is an integer number (10711260).

Almost surely, 2^285630240 is an apocalyptic number.

285630240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285630240 is an abundant number, since it is smaller than the sum of its proper divisors (742650720).

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

285630240 is a wasteful number, since it uses less digits than its factorization.

285630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85034 (or 85026 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 285630240 is about 16900.5988059595. The cubic root of 285630240 is about 658.5691684397.

The spelling of 285630240 in words is "two hundred eighty-five million, six hundred thirty thousand, two hundred forty".