14536480 has 48 divisors (see below), whose sum is σ = 39251520. Its totient is φ = 4983552.

The previous prime is 14536477. The next prime is 14536499. The reversal of 14536480 is 8463541.

It is a happy number.

It is a super-2 number, since 2×14536480² = 422618501580800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5370 + ... + 7609.

It is an arithmetic number, because the mean of its divisors is an integer number (817740).

Almost surely, 2^14536480 is an apocalyptic number.

14536480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14536480 is an abundant number, since it is smaller than the sum of its proper divisors (24715040).

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

14536480 is a wasteful number, since it uses less digits than its factorization.

14536480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13001 (or 12993 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 14536480 is about 3812.6736026049. The cubic root of 14536480 is about 244.0542744086.

The spelling of 14536480 in words is "fourteen million, five hundred thirty-six thousand, four hundred eighty".