24960480 has 96 divisors (see below), whose sum is σ = 79380000. Its totient is φ = 6592512.

The previous prime is 24960473. The next prime is 24960499. The reversal of 24960480 is 8406942.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71346 + ... + 71694.

It is an arithmetic number, because the mean of its divisors is an integer number (826875).

Almost surely, 2^24960480 is an apocalyptic number.

24960480 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 24960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39690000).

24960480 is an abundant number, since it is smaller than the sum of its proper divisors (54419520).

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

24960480 is a wasteful number, since it uses less digits than its factorization.

24960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 24960480 is about 4996.0464369339. The cubic root of 24960480 is about 292.2476163207.

The spelling of 24960480 in words is "twenty-four million, nine hundred sixty thousand, four hundred eighty".