14676480 has 360 divisors, whose sum is σ = 63675612. Its totient is φ = 3096576.

The previous prime is 14676469. The next prime is 14676503. The reversal of 14676480 is 8467641.

14676480 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 648 + 0 = 666.

14676480 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 13660416 + 1016064 = 3696^2 + 1008^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128954 + ... + 1128966.

Almost surely, 2^14676480 is an apocalyptic number.

14676480 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 14676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31837806).

14676480 is an abundant number, since it is smaller than the sum of its proper divisors (48999132).

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

14676480 is a wasteful number, since it uses less digits than its factorization.

14676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 14676480 is about 3830.9894283331. The cubic root of 14676480 is about 244.8352634065.

The spelling of 14676480 in words is "fourteen million, six hundred seventy-six thousand, four hundred eighty".