13470900 has 72 divisors (see below), whose sum is σ = 39518304. Its totient is φ = 3542400.

The previous prime is 13470889. The next prime is 13470913. The reversal of 13470900 is 907431.

13470900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13470900³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24630 + ... + 25170.

Almost surely, 2^13470900 is an apocalyptic number.

13470900 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 13470900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19759152).

13470900 is an abundant number, since it is smaller than the sum of its proper divisors (26047404).

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

13470900 is a wasteful number, since it uses less digits than its factorization.

13470900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

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

The square root of 13470900 is about 3670.2724694496. The cubic root of 13470900 is about 237.9389481611.

The spelling of 13470900 in words is "thirteen million, four hundred seventy thousand, nine hundred".