24000480 has 144 divisors (see below), whose sum is σ = 93641184. Its totient is φ = 5483520.

The previous prime is 24000469. The next prime is 24000517. The reversal of 24000480 is 8400042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8890 + ... + 11270.

It is an arithmetic number, because the mean of its divisors is an integer number (650286).

Almost surely, 2^24000480 is an apocalyptic number.

24000480 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 24000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46820592).

24000480 is an abundant number, since it is smaller than the sum of its proper divisors (69640704).

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

24000480 is a wasteful number, since it uses less digits than its factorization.

24000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 24000480 is about 4899.0284751163. The cubic root of 24000480 is about 288.4518370481.

The spelling of 24000480 in words is "twenty-four million, four hundred eighty", and thus it is an aban number.