14780480 has 224 divisors, whose sum is σ = 46085760. Its totient is φ = 4423680.

The previous prime is 14780453. The next prime is 14780489. The reversal of 14780480 is 8408741.

14780480 = 111² + 112² + ... + 357².

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14780489) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 777911 + ... + 777929.

It is an arithmetic number, because the mean of its divisors is an integer number (205740).

Almost surely, 2^14780480 is an apocalyptic number.

14780480 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 14780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042880).

14780480 is an abundant number, since it is smaller than the sum of its proper divisors (31305280).

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

14780480 is a wasteful number, since it uses less digits than its factorization.

14780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 14780480 is about 3844.5389840656. The cubic root of 14780480 is about 245.4122173342.

The spelling of 14780480 in words is "fourteen million, seven hundred eighty thousand, four hundred eighty".