13374400 has 84 divisors (see below), whose sum is σ = 35495992. Its totient is φ = 4930560.

The previous prime is 13374397. The next prime is 13374401. The reversal of 13374400 is 447331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13374401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20479 + ... + 21121.

Almost surely, 2^13374400 is an apocalyptic number.

13374400 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 13374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747996).

13374400 is an abundant number, since it is smaller than the sum of its proper divisors (22121592).

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

13374400 is a wasteful number, since it uses less digits than its factorization.

13374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 13374400 is about 3657.1026783507. The cubic root of 13374400 is about 237.3694203707.

The spelling of 13374400 in words is "thirteen million, three hundred seventy-four thousand, four hundred".