13461480 has 96 divisors (see below), whose sum is σ = 44539560. Its totient is φ = 3525120.

The previous prime is 13461479. The next prime is 13461491. The reversal of 13461480 is 8416431.

It can be written as a sum of positive squares in 4 ways, for example, as 2452356 + 11009124 = 1566^2 + 3318^2 .

It is a super-2 number, since 2×13461480² = 362422887580800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21654 + ... + 22266.

Almost surely, 2^13461480 is an apocalyptic number.

13461480 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 13461480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22269780).

13461480 is an abundant number, since it is smaller than the sum of its proper divisors (31078080).

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

13461480 is a wasteful number, since it uses less digits than its factorization.

13461480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13461480 is about 3668.9889615533. The cubic root of 13461480 is about 237.8834728390.

The spelling of 13461480 in words is "thirteen million, four hundred sixty-one thousand, four hundred eighty".