14478880 has 48 divisors (see below), whose sum is σ = 36842904. Its totient is φ = 5345280.

The previous prime is 14478869. The next prime is 14478881. The reversal of 14478880 is 8887441.

14478880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11048976 + 3429904 = 3324^2 + 1852^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14478881) 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, 1401 + ... + 5560.

Almost surely, 2^14478880 is an apocalyptic number.

14478880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14478880 is an abundant number, since it is smaller than the sum of its proper divisors (22364024).

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

14478880 is a wasteful number, since it uses less digits than its factorization.

14478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6989 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 14478880 is about 3805.1123505095. The cubic root of 14478880 is about 243.7314971710.

The spelling of 14478880 in words is "fourteen million, four hundred seventy-eight thousand, eight hundred eighty".