285345720 has 128 divisors (see below), whose sum is σ = 1037664000. Its totient is φ = 69171840.

The previous prime is 285345713. The next prime is 285345727. The reversal of 285345720 is 27543582.

285345720 is a `hidden beast` number, since 2 + 85 + 3 + 4 + 572 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (285345713) and next prime (285345727).

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 (285345727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130 + ... + 23889.

It is an arithmetic number, because the mean of its divisors is an integer number (8106750).

Almost surely, 2^285345720 is an apocalyptic number.

285345720 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 285345720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518832000).

285345720 is an abundant number, since it is smaller than the sum of its proper divisors (752318280).

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

285345720 is a wasteful number, since it uses less digits than its factorization.

285345720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24050 (or 24040 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 285345720 is about 16892.1792555016. The cubic root of 285345720 is about 658.3504260192.

The spelling of 285345720 in words is "two hundred eighty-five million, three hundred forty-five thousand, seven hundred twenty".