284849200 has 60 divisors (see below), whose sum is σ = 700307608. Its totient is φ = 111283200.

The previous prime is 284849179. The next prime is 284849221. The reversal of 284849200 is 2948482.

It is an interprime number because it is at equal distance from previous prime (284849179) and next prime (284849221).

It is a super-2 number, since 2×284849200² = 162278133481280000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 284849200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8920 + ... + 25480.

Almost surely, 2^284849200 is an apocalyptic number.

284849200 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 284849200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350153804).

284849200 is an abundant number, since it is smaller than the sum of its proper divisors (415458408).

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

284849200 is a wasteful number, since it uses less digits than its factorization.

284849200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16622 (or 16611 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 284849200 is about 16877.4761146328. The cubic root of 284849200 is about 657.9683468851.

The spelling of 284849200 in words is "two hundred eighty-four million, eight hundred forty-nine thousand, two hundred".