284845944 has 64 divisors (see below), whose sum is σ = 738316800. Its totient is φ = 91517184.

The previous prime is 284845921. The next prime is 284845973. The reversal of 284845944 is 449548482.

It is a happy number.

It is a super-2 number, since 2×284845944² = 162274423626502272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 284845893 and 284845902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73692 + ... + 77460.

It is an arithmetic number, because the mean of its divisors is an integer number (11536200).

Almost surely, 2^284845944 is an apocalyptic number.

284845944 is a gapful number since it is divisible by the number (24) 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 284845944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369158400).

284845944 is an abundant number, since it is smaller than the sum of its proper divisors (453470856).

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

284845944 is a wasteful number, since it uses less digits than its factorization.

284845944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3888 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The square root of 284845944 is about 16877.3796544369. The cubic root of 284845944 is about 657.9658398824.

The spelling of 284845944 in words is "two hundred eighty-four million, eight hundred forty-five thousand, nine hundred forty-four".