14830480 has 80 divisors (see below), whose sum is σ = 40068864. Its totient is φ = 4999680.

The previous prime is 14830471. The next prime is 14830481. The reversal of 14830480 is 8403841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14830481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39574 + ... + 39946.

Almost surely, 2^14830480 is an apocalyptic number.

14830480 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 14830480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034432).

14830480 is an abundant number, since it is smaller than the sum of its proper divisors (25238384).

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

14830480 is a wasteful number, since it uses less digits than its factorization.

14830480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 14830480 is about 3851.0362241869. The cubic root of 14830480 is about 245.6886359689.

It can be divided in two parts, 148 and 30480, that added together give a triangular number (30628 = T₂₄₇).

The spelling of 14830480 in words is "fourteen million, eight hundred thirty thousand, four hundred eighty".