1338400 has 72 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 456960.

The previous prime is 1338397. The next prime is 1338413. The reversal of 1338400 is 48331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5481 + ... + 5719.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

2^1338400 is an apocalyptic number.

1338400 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 1338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1338400 is an abundant number, since it is smaller than the sum of its proper divisors (2411360).

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

1338400 is a wasteful number, since it uses less digits than its factorization.

1338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1338400 is about 1156.8923891184. The cubic root of 1338400 is about 110.2034801158.

The spelling of 1338400 in words is "one million, three hundred thirty-eight thousand, four hundred".