13454480 has 80 divisors (see below), whose sum is σ = 35716464. Its totient is φ = 4669440.

The previous prime is 13454477. The next prime is 13454491. The reversal of 13454480 is 8445431.

It can be written as a sum of positive squares in 8 ways, for example, as 2930944 + 10523536 = 1712^2 + 3244^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17300 + ... + 18060.

Almost surely, 2^13454480 is an apocalyptic number.

13454480 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 13454480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858232).

13454480 is an abundant number, since it is smaller than the sum of its proper divisors (22261984).

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

13454480 is a wasteful number, since it uses less digits than its factorization.

13454480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 13454480 is about 3668.0348962353. The cubic root of 13454480 is about 237.8422323754.

The spelling of 13454480 in words is "thirteen million, four hundred fifty-four thousand, four hundred eighty".