286446820 has 96 divisors (see below), whose sum is σ = 685956096. Its totient is φ = 99532800.

The previous prime is 286446791. The next prime is 286446841. The reversal of 286446820 is 28644682.

It is a super-2 number, since 2×286446820² = 164103561376224800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661324 + ... + 661756.

It is an arithmetic number, because the mean of its divisors is an integer number (7145376).

Almost surely, 2^286446820 is an apocalyptic number.

286446820 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 286446820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342978048).

286446820 is an abundant number, since it is smaller than the sum of its proper divisors (399509276).

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

286446820 is a wasteful number, since it uses less digits than its factorization.

286446820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 286446820 is about 16924.7398798327. The cubic root of 286446820 is about 659.1961594148.

The spelling of 286446820 in words is "two hundred eighty-six million, four hundred forty-six thousand, eight hundred twenty".