14970480 has 240 divisors, whose sum is σ = 57674880. Its totient is φ = 3193344.

The previous prime is 14970469. The next prime is 14970481. The reversal of 14970480 is 8407941.

14970480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14970481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223407 + ... + 223473.

It is an arithmetic number, because the mean of its divisors is an integer number (240312).

Almost surely, 2^14970480 is an apocalyptic number.

14970480 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 14970480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28837440).

14970480 is an abundant number, since it is smaller than the sum of its proper divisors (42704400).

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

14970480 is a wasteful number, since it uses less digits than its factorization.

14970480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14970480 is about 3869.1704537278. The cubic root of 14970480 is about 246.4593176748.

The spelling of 14970480 in words is "fourteen million, nine hundred seventy thousand, four hundred eighty".