13407900 has 144 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3046400.

The previous prime is 13407871. The next prime is 13407907. The reversal of 13407900 is 970431.

13407900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13407907) 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, 55981 + ... + 56219.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 2^13407900 is an apocalyptic number.

13407900 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 13407900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13407900 is an abundant number, since it is smaller than the sum of its proper divisors (31589220).

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

13407900 is a wasteful number, since it uses less digits than its factorization.

13407900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13407900 is about 3661.6799423216. The cubic root of 13407900 is about 237.5674416043.

The spelling of 13407900 in words is "thirteen million, four hundred seven thousand, nine hundred".