13824480 has 96 divisors (see below), whose sum is σ = 44198784. Its totient is φ = 3631616.

The previous prime is 13824479. The next prime is 13824487. The reversal of 13824480 is 8442831.

13824480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×13824480² = 382232494540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39667 + ... + 40013.

It is an arithmetic number, because the mean of its divisors is an integer number (460404).

Almost surely, 2^13824480 is an apocalyptic number.

13824480 is a gapful number since it is divisible by the number (10) 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 13824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22099392).

13824480 is an abundant number, since it is smaller than the sum of its proper divisors (30374304).

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

13824480 is a wasteful number, since it uses less digits than its factorization.

13824480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 13824480 is about 3718.1285615212. The cubic root of 13824480 is about 240.0027777456.

Multiplying 13824480 by its sum of digits (30), we get a triangular number (414734400 = T₂₈₈₀₀).

The spelling of 13824480 in words is "thirteen million, eight hundred twenty-four thousand, four hundred eighty".