24240480 has 96 divisors (see below), whose sum is σ = 83317248. Its totient is φ = 5875200.

The previous prime is 24240467. The next prime is 24240499. The reversal of 24240480 is 8404242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 24240480.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2985 + ... + 7575.

It is an arithmetic number, because the mean of its divisors is an integer number (867888).

Almost surely, 2^24240480 is an apocalyptic number.

24240480 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 24240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41658624).

24240480 is an abundant number, since it is smaller than the sum of its proper divisors (59076768).

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

24240480 is a wasteful number, since it uses less digits than its factorization.

24240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 24240480 is about 4923.4621964630. The cubic root of 24240480 is about 289.4101367364.

The spelling of 24240480 in words is "twenty-four million, two hundred forty thousand, four hundred eighty".