13478500 has 48 divisors (see below), whose sum is σ = 33651072. Its totient is φ = 4620000.

The previous prime is 13478497. The next prime is 13478503. The reversal of 13478500 is 587431.

13478500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13478497) and next prime (13478503).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13478503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1575 + ... + 5425.

It is an arithmetic number, because the mean of its divisors is an integer number (701064).

Almost surely, 2^13478500 is an apocalyptic number.

13478500 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 13478500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16825536).

13478500 is an abundant number, since it is smaller than the sum of its proper divisors (20172572).

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

13478500 is a wasteful number, since it uses less digits than its factorization.

13478500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 13478500 is about 3671.3076689376. The cubic root of 13478500 is about 237.9836864745.

The spelling of 13478500 in words is "thirteen million, four hundred seventy-eight thousand, five hundred".