13440480 has 48 divisors (see below), whose sum is σ = 42339024. Its totient is φ = 3584000.

The previous prime is 13440473. The next prime is 13440529. The reversal of 13440480 is 8404431.

It is a tau number, because it is divible by the number of its divisors (48).

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 13440480.

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 7 ways as a sum of consecutive naturals, for example, 13521 + ... + 14480.

It is an arithmetic number, because the mean of its divisors is an integer number (882063).

Almost surely, 2^13440480 is an apocalyptic number.

13440480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13440480 is an abundant number, since it is smaller than the sum of its proper divisors (28898544).

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

13440480 is a wasteful number, since it uses less digits than its factorization.

13440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28019 (or 28011 counting only the distinct ones).

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

The square root of 13440480 is about 3666.1260207472. The cubic root of 13440480 is about 237.7597085159.

The spelling of 13440480 in words is "thirteen million, four hundred forty thousand, four hundred eighty".