285520752 has 240 divisors, whose sum is σ = 940118400. Its totient is φ = 79971840.

The previous prime is 285520751. The next prime is 285520759. The reversal of 285520752 is 257025582.

285520752 is a `hidden beast` number, since 2 + 85 + 520 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285520751) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1594999 + ... + 1595177.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2^285520752 is an apocalyptic number.

285520752 is a gapful number since it is divisible by the number (22) 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 285520752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470059200).

285520752 is an abundant number, since it is smaller than the sum of its proper divisors (654597648).

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

285520752 is a wasteful number, since it uses less digits than its factorization.

285520752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 285520752 is about 16897.3593203198. The cubic root of 285520752 is about 658.4850099413.

The spelling of 285520752 in words is "two hundred eighty-five million, five hundred twenty thousand, seven hundred fifty-two".