1138400 has 36 divisors (see below), whose sum is σ = 2781072. Its totient is φ = 455040.

The previous prime is 1138393. The next prime is 1138409. The reversal of 1138400 is 48311.

It is a happy number.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (77252).

2^1138400 is an apocalyptic number.

1138400 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 1138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390536).

1138400 is an abundant number, since it is smaller than the sum of its proper divisors (1642672).

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

1138400 is a wasteful number, since it uses less digits than its factorization.

1138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1138400 is about 1066.9582934679. The cubic root of 1138400 is about 104.4154975697.

The spelling of 1138400 in words is "one million, one hundred thirty-eight thousand, four hundred".