285802920 has 192 divisors, whose sum is σ = 1008942480. Its totient is φ = 69746688.

The previous prime is 285802901. The next prime is 285802927. The reversal of 285802920 is 29208582.

It can be written as a sum of positive squares in 8 ways, for example, as 122014116 + 163788804 = 11046^2 + 12798^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (285802927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809464 + ... + 809816.

Almost surely, 2^285802920 is an apocalyptic number.

285802920 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 285802920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504471240).

285802920 is an abundant number, since it is smaller than the sum of its proper divisors (723139560).

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

285802920 is a wasteful number, since it uses less digits than its factorization.

285802920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 285802920 is about 16905.7067287943. The cubic root of 285802920 is about 658.7018560881.

The spelling of 285802920 in words is "two hundred eighty-five million, eight hundred two thousand, nine hundred twenty".