13452480 has 168 divisors, whose sum is σ = 48262032. Its totient is φ = 3566592.

The previous prime is 13452479. The next prime is 13452487. The reversal of 13452480 is 8425431.

13452480 is a `hidden beast` number, since 134 + 52 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13452487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77674 + ... + 77846.

It is an arithmetic number, because the mean of its divisors is an integer number (287274).

Almost surely, 2^13452480 is an apocalyptic number.

13452480 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 13452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131016).

13452480 is an abundant number, since it is smaller than the sum of its proper divisors (34809552).

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

13452480 is an equidigital number, since it uses as much as digits as its factorization.

13452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13452480 is about 3667.7622605616. The cubic root of 13452480 is about 237.8304467586.

The spelling of 13452480 in words is "thirteen million, four hundred fifty-two thousand, four hundred eighty".