24980000 has 60 divisors (see below), whose sum is σ = 61503750. Its totient is φ = 9984000.

The previous prime is 24979973. The next prime is 24980009. The reversal of 24980000 is 8942.

It can be written as a sum of positive squares in 5 ways, for example, as 99856 + 24880144 = 316^2 + 4988^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (24980009) 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 9 ways as a sum of consecutive naturals, for example, 19376 + ... + 20624.

Almost surely, 2^24980000 is an apocalyptic number.

24980000 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 24980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30751875).

24980000 is an abundant number, since it is smaller than the sum of its proper divisors (36523750).

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

24980000 is an equidigital number, since it uses as much as digits as its factorization.

24980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 24980000 is about 4997.9995998399. Note that the first 3 decimals coincide. The cubic root of 24980000 is about 292.3237792127.

Adding to 24980000 its reverse (8942), we get a palindrome (24988942).

The spelling of 24980000 in words is "twenty-four million, nine hundred eighty thousand".