13000440 has 64 divisors (see below), whose sum is σ = 39346560. Its totient is φ = 3436160.

The previous prime is 13000411. The next prime is 13000457. The reversal of 13000440 is 4400031.

It is a super-2 number, since 2×13000440² = 338022880387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 15307 + ... + 16133.

It is an arithmetic number, because the mean of its divisors is an integer number (614790).

Almost surely, 2^13000440 is an apocalyptic number.

13000440 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 13000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19673280).

13000440 is an abundant number, since it is smaller than the sum of its proper divisors (26346120).

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

13000440 is a wasteful number, since it uses less digits than its factorization.

13000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13000440 is about 3605.6122919693. The cubic root of 13000440 is about 235.1361215300.

Adding to 13000440 its reverse (4400031), we get a palindrome (17400471).

The spelling of 13000440 in words is "thirteen million, four hundred forty", and thus it is an aban number.