14566480 has 40 divisors (see below), whose sum is σ = 34700904. Its totient is φ = 5683200.

The previous prime is 14566477. The next prime is 14566481. The reversal of 14566480 is 8466541.

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 14561856 = 68^2 + 3816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14566481) 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, 1060 + ... + 5500.

Almost surely, 2^14566480 is an apocalyptic number.

14566480 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 14566480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17350452).

14566480 is an abundant number, since it is smaller than the sum of its proper divisors (20134424).

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

14566480 is a wasteful number, since it uses less digits than its factorization.

14566480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 14566480 is about 3816.6058219313. The cubic root of 14566480 is about 244.2220499470. Note that the first 3 decimals are identical.

The spelling of 14566480 in words is "fourteen million, five hundred sixty-six thousand, four hundred eighty".