285269040 has 400 divisors, whose sum is σ = 1195518720. Its totient is φ = 61585920.

The previous prime is 285269029. The next prime is 285269057. The reversal of 285269040 is 40962582.

It is a happy number.

285269040 is a `hidden beast` number, since 2 + 8 + 526 + 90 + 40 = 666.

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 = 285268986 and 285269004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 861675 + ... + 862005.

Almost surely, 2^285269040 is an apocalyptic number.

285269040 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 285269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597759360).

285269040 is an abundant number, since it is smaller than the sum of its proper divisors (910249680).

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

285269040 is a wasteful number, since it uses less digits than its factorization.

285269040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 285269040 is about 16889.9094136114. The cubic root of 285269040 is about 658.2914486340.

The spelling of 285269040 in words is "two hundred eighty-five million, two hundred sixty-nine thousand, forty".