24972480 has 336 divisors, whose sum is σ = 99852480. Its totient is φ = 5677056.

The previous prime is 24972461. The next prime is 24972481. The reversal of 24972480 is 8427942.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24972481) 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 47 ways as a sum of consecutive naturals, for example, 861106 + ... + 861134.

It is an arithmetic number, because the mean of its divisors is an integer number (297180).

Almost surely, 2^24972480 is an apocalyptic number.

24972480 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 24972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

24972480 is an abundant number, since it is smaller than the sum of its proper divisors (74880000).

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

24972480 is a wasteful number, since it uses less digits than its factorization.

24972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 24972480 is about 4997.2472422325. The cubic root of 24972480 is about 292.2944424707.

It can be divided in two parts, 24972 and 480, that added together give a palindrome (25452).

The spelling of 24972480 in words is "twenty-four million, nine hundred seventy-two thousand, four hundred eighty".