5024000 has 72 divisors (see below), whose sum is σ = 12595128. Its totient is φ = 1996800.

The previous prime is 5023987. The next prime is 5024009. The reversal of 5024000 is 4205.

It can be written as a sum of positive squares in 4 ways, for example, as 495616 + 4528384 = 704^2 + 2128^2 .

It is not an unprimeable number, because it can be changed into a prime (5024009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31922 + ... + 32078.

Almost surely, 2^5024000 is an apocalyptic number.

5024000 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 5024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297564).

5024000 is an abundant number, since it is smaller than the sum of its proper divisors (7571128).

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

5024000 is an equidigital number, since it uses as much as digits as its factorization.

5024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 5024000 is about 2241.4281161795. The cubic root of 5024000 is about 171.2707542289.

Adding to 5024000 its reverse (4205), we get a palindrome (5028205).

The spelling of 5024000 in words is "five million, twenty-four thousand".