14190480 has 60 divisors (see below), whose sum is σ = 47658780. Its totient is φ = 3783936.

The previous prime is 14190479. The next prime is 14190509. The reversal of 14190480 is 8409141.

It can be written as a sum of positive squares in 2 ways, for example, as 6170256 + 8020224 = 2484^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9135 + ... + 10574.

It is an arithmetic number, because the mean of its divisors is an integer number (794313).

Almost surely, 2^14190480 is an apocalyptic number.

14190480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14190480 is an abundant number, since it is smaller than the sum of its proper divisors (33468300).

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

14190480 is a wasteful number, since it uses less digits than its factorization.

14190480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19728 (or 19719 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14190480 is about 3767.0253516535. The cubic root of 14190480 is about 242.1023631795.

The spelling of 14190480 in words is "fourteen million, one hundred ninety thousand, four hundred eighty".