24132480 has 64 divisors (see below), whose sum is σ = 76928400. Its totient is φ = 6434816.

The previous prime is 24132467. The next prime is 24132481. The reversal of 24132480 is 8423142.

It is a tau number, because it is divible by the number of its divisors (64).

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 24132480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24132481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4365 + ... + 8204.

Almost surely, 2^24132480 is an apocalyptic number.

24132480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24132480 is an abundant number, since it is smaller than the sum of its proper divisors (52795920).

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

24132480 is a wasteful number, since it uses less digits than its factorization.

24132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12591 (or 12579 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 24132480 is about 4912.4820610359. The cubic root of 24132480 is about 288.9796883112.

The spelling of 24132480 in words is "twenty-four million, one hundred thirty-two thousand, four hundred eighty".