24468480 has 220 divisors, whose sum is σ = 89167320. Its totient is φ = 6414336.

The previous prime is 24468461. The next prime is 24468487. The reversal of 24468480 is 8486442.

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 (24468487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414691 + ... + 414749.

It is an arithmetic number, because the mean of its divisors is an integer number (405306).

Almost surely, 2^24468480 is an apocalyptic number.

24468480 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 24468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44583660).

24468480 is an abundant number, since it is smaller than the sum of its proper divisors (64698840).

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

24468480 is an equidigital number, since it uses as much as digits as its factorization.

24468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 24468480 is about 4946.5624427475. The cubic root of 24468480 is about 290.3146802151.

The spelling of 24468480 in words is "twenty-four million, four hundred sixty-eight thousand, four hundred eighty".