13413400 has 192 divisors, whose sum is σ = 42497280. Its totient is φ = 3801600.

The previous prime is 13413383. The next prime is 13413403. The reversal of 13413400 is 431431.

13413400 = T₄₅₅ + T₄₅₆ + ... + T₅₅₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413403) 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, 200167 + ... + 200233.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 2^13413400 is an apocalyptic number.

13413400 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 13413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

13413400 is an abundant number, since it is smaller than the sum of its proper divisors (29083880).

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

13413400 is a wasteful number, since it uses less digits than its factorization.

13413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13413400 is about 3662.4308867199. The cubic root of 13413400 is about 237.5999210209.

Adding to 13413400 its reverse (431431), we get a palindrome (13844831).

It can be divided in two parts, 134 and 13400, that multiplied together give a square (1795600 = 1340²).

The spelling of 13413400 in words is "thirteen million, four hundred thirteen thousand, four hundred".