5284000 has 48 divisors (see below), whose sum is σ = 12992616. Its totient is φ = 2112000.

The previous prime is 5283989. The next prime is 5284001. The reversal of 5284000 is 4825.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 2421136 = 1692^2 + 1556^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5284001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3340 + ... + 4660.

Almost surely, 2^5284000 is an apocalyptic number.

5284000 is a gapful number since it is divisible by the number (50) 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 5284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496308).

5284000 is an abundant number, since it is smaller than the sum of its proper divisors (7708616).

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

5284000 is a wasteful number, since it uses less digits than its factorization.

5284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 5284000 is about 2298.6952821111. The cubic root of 5284000 is about 174.1757153890.

Adding to 5284000 its reverse (4825), we get a palindrome (5288825).

The spelling of 5284000 in words is "five million, two hundred eighty-four thousand".