14820480 has 192 divisors, whose sum is σ = 53464320. Its totient is φ = 3778560.

The previous prime is 14820473. The next prime is 14820493. The reversal of 14820480 is 8402841.

14820480 = 7⁴ + 8⁴ + ... + 37⁴.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178519 + ... + 178601.

It is an arithmetic number, because the mean of its divisors is an integer number (278460).

Almost surely, 2^14820480 is an apocalyptic number.

14820480 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 14820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732160).

14820480 is an abundant number, since it is smaller than the sum of its proper divisors (38643840).

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

14820480 is a wasteful number, since it uses less digits than its factorization.

14820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 14820480 is about 3849.7376533993. The cubic root of 14820480 is about 245.6334020007.

The spelling of 14820480 in words is "fourteen million, eight hundred twenty thousand, four hundred eighty".