285344640 has 384 divisors, whose sum is σ = 1179079200. Its totient is φ = 65028096.

The previous prime is 285344623. The next prime is 285344671. The reversal of 285344640 is 46443582.

285344640 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 285344595 and 285344604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846552 + ... + 846888.

Almost surely, 2^285344640 is an apocalyptic number.

285344640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589539600).

285344640 is an abundant number, since it is smaller than the sum of its proper divisors (893734560).

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

285344640 is a wasteful number, since it uses less digits than its factorization.

285344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

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

The square root of 285344640 is about 16892.1472880152. The cubic root of 285344640 is about 658.3495954252.

The spelling of 285344640 in words is "two hundred eighty-five million, three hundred forty-four thousand, six hundred forty".