14964480 has 144 divisors (see below), whose sum is σ = 53225760. Its totient is φ = 3981312.

The previous prime is 14964461. The next prime is 14964487. The reversal of 14964480 is 8446941.

It is a happy number.

14964480 is a `hidden beast` number, since 1 + 4 + 9 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14964487) 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, 34344 + ... + 34776.

Almost surely, 2^14964480 is an apocalyptic number.

14964480 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 14964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26612880).

14964480 is an abundant number, since it is smaller than the sum of its proper divisors (38261280).

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

14964480 is an equidigital number, since it uses as much as digits as its factorization.

14964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14964480 is about 3868.3950160241. The cubic root of 14964480 is about 246.4263872342.

The spelling of 14964480 in words is "fourteen million, nine hundred sixty-four thousand, four hundred eighty".