14460480 has 84 divisors (see below), whose sum is σ = 49747932. Its totient is φ = 3855360.

The previous prime is 14460449. The next prime is 14460493. The reversal of 14460480 is 8406441.

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 4875264 = 3096^2 + 2208^2 .

It is a nialpdrome in base 16.

It is a congruent number.

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, 370 + ... + 5390.

Almost surely, 2^14460480 is an apocalyptic number.

14460480 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 14460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24873966).

14460480 is an abundant number, since it is smaller than the sum of its proper divisors (35287452).

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

14460480 is a wasteful number, since it uses less digits than its factorization.

14460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14460480 is about 3802.6937820445. The cubic root of 14460480 is about 243.6282073996.

The spelling of 14460480 in words is "fourteen million, four hundred sixty thousand, four hundred eighty".