13400420 has 48 divisors (see below), whose sum is σ = 32514048. Its totient is φ = 4584960.

The previous prime is 13400417. The next prime is 13400441. The reversal of 13400420 is 2400431.

13400420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13400395 and 13400404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1949 + ... + 5531.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 2^13400420 is an apocalyptic number.

13400420 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 13400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024).

13400420 is an abundant number, since it is smaller than the sum of its proper divisors (19113628).

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

13400420 is a wasteful number, since it uses less digits than its factorization.

13400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13400420 is about 3660.6584107234. The cubic root of 13400420 is about 237.5232553406.

Adding to 13400420 its reverse (2400431), we get a palindrome (15800851).

The spelling of 13400420 in words is "thirteen million, four hundred thousand, four hundred twenty".