13350440 has 64 divisors (see below), whose sum is σ = 32950800. Its totient is φ = 4845568.

The previous prime is 13350437. The next prime is 13350473. The reversal of 13350440 is 4405331.

13350440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11847364 + 1503076 = 3442^2 + 1226^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 19382 + ... + 20058.

Almost surely, 2^13350440 is an apocalyptic number.

13350440 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 13350440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475400).

13350440 is an abundant number, since it is smaller than the sum of its proper divisors (19600360).

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

13350440 is a wasteful number, since it uses less digits than its factorization.

13350440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13350440 is about 3653.8253926536. The cubic root of 13350440 is about 237.2275879403.

Adding to 13350440 its reverse (4405331), we get a palindrome (17755771).

The spelling of 13350440 in words is "thirteen million, three hundred fifty thousand, four hundred forty".