13000410 has 96 divisors (see below), whose sum is σ = 37149840. Its totient is φ = 3139584.

The previous prime is 13000397. The next prime is 13000411. The reversal of 13000410 is 1400031.

It can be written as a sum of positive squares in 8 ways, for example, as 10830681 + 2169729 = 3291^2 + 1473^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

13000410 is a modest number, since divided by 410 gives 130 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 13000392 and 13000401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44224 + ... + 44516.

Almost surely, 2^13000410 is an apocalyptic number.

13000410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574920).

13000410 is an abundant number, since it is smaller than the sum of its proper divisors (24149430).

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

13000410 is a wasteful number, since it uses less digits than its factorization.

13000410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13000410 is about 3605.6081317858. The cubic root of 13000410 is about 235.1359406620.

Adding to 13000410 its reverse (1400031), we get a palindrome (14400441).

The spelling of 13000410 in words is "thirteen million, four hundred ten", and thus it is an aban number.