284245248 has 144 divisors (see below), whose sum is σ = 888567680. Its totient is φ = 78962688.

The previous prime is 284245243. The next prime is 284245249. The reversal of 284245248 is 842542482.

It is a super-2 number, since 2×284245248² = 161590722021163008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284245243) 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 15 ways as a sum of consecutive naturals, for example, 198198 + ... + 199626.

Almost surely, 2^284245248 is an apocalyptic number.

284245248 is a gapful number since it is divisible by the number (28) 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 284245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444283840).

284245248 is an abundant number, since it is smaller than the sum of its proper divisors (604322432).

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

284245248 is a wasteful number, since it uses less digits than its factorization.

284245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1478 counting only the distinct ones).

The product of its digits is 163840, while the sum is 39.

The square root of 284245248 is about 16859.5743718517. The cubic root of 284245248 is about 657.5029983430.

The spelling of 284245248 in words is "two hundred eighty-four million, two hundred forty-five thousand, two hundred forty-eight".