14966480 has 20 divisors (see below), whose sum is σ = 34797252. Its totient is φ = 5986560.

The previous prime is 14966473. The next prime is 14966531. The reversal of 14966480 is 8466941.

14966480 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 2 ways, for example, as 1948816 + 13017664 = 1396^2 + 3608^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93461 + ... + 93620.

Almost surely, 2^14966480 is an apocalyptic number.

14966480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14966480 is an abundant number, since it is smaller than the sum of its proper divisors (19830772).

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

14966480 is a wasteful number, since it uses less digits than its factorization.

14966480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187094 (or 187088 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 14966480 is about 3868.6535125286. The cubic root of 14966480 is about 246.4373650256.

The spelling of 14966480 in words is "fourteen million, nine hundred sixty-six thousand, four hundred eighty".