285742080 has 440 divisors, whose sum is σ = 1123508232. Its totient is φ = 69009408.

The previous prime is 285742073. The next prime is 285742081. The reversal of 285742080 is 80247582.

It is a happy number.

285742080 is a `hidden beast` number, since 2 + 8 + 574 + 2 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 269485056 = 4032^2 + 16416^2 .

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 (285742081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391334 + ... + 5391386.

Almost surely, 2^285742080 is an apocalyptic number.

285742080 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 285742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561754116).

285742080 is an abundant number, since it is smaller than the sum of its proper divisors (837766152).

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

285742080 is a wasteful number, since it uses less digits than its factorization.

285742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 285742080 is about 16903.9072406352. The cubic root of 285742080 is about 658.6551126131.

The spelling of 285742080 in words is "two hundred eighty-five million, seven hundred forty-two thousand, eighty".