13000400 has 60 divisors (see below), whose sum is σ = 35703072. Its totient is φ = 4456320.

The previous prime is 13000397. The next prime is 13000411. The reversal of 13000400 is 400031.

13000400 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

13000400 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479 + ... + 5121.

Almost surely, 2^13000400 is an apocalyptic number.

13000400 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 13000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17851536).

13000400 is an abundant number, since it is smaller than the sum of its proper divisors (22702672).

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

13000400 is a wasteful number, since it uses less digits than its factorization.

13000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 13000400 is about 3605.6067450569. The cubic root of 13000400 is about 235.1358803727.

Adding to 13000400 its reverse (400031), we get a palindrome (13400431).

The spelling of 13000400 in words is "thirteen million, four hundred", and thus it is an aban number.