285245040 has 160 divisors (see below), whose sum is σ = 944510976. Its totient is φ = 70963200.

The previous prime is 285245027. The next prime is 285245041. The reversal of 285245040 is 40542582.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 285244989 and 285245007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285245041) 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 31 ways as a sum of consecutive naturals, for example, 615849 + ... + 616311.

Almost surely, 2^285245040 is an apocalyptic number.

285245040 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 285245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472255488).

285245040 is an abundant number, since it is smaller than the sum of its proper divisors (659265936).

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

285245040 is a wasteful number, since it uses less digits than its factorization.

285245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 285245040 is about 16889.1989152831. The cubic root of 285245040 is about 658.2729871869.

The spelling of 285245040 in words is "two hundred eighty-five million, two hundred forty-five thousand, forty".