1388400 has 120 divisors (see below), whose sum is σ = 4843440. Its totient is φ = 337920.

The previous prime is 1388393. The next prime is 1388411. The reversal of 1388400 is 48831.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15556 + ... + 15644.

It is an arithmetic number, because the mean of its divisors is an integer number (40362).

2^1388400 is an apocalyptic number.

1388400 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 1388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421720).

1388400 is an abundant number, since it is smaller than the sum of its proper divisors (3455040).

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

1388400 is a wasteful number, since it uses less digits than its factorization.

1388400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1388400 is about 1178.3038657324. The cubic root of 1388400 is about 111.5590656775.

The spelling of 1388400 in words is "one million, three hundred eighty-eight thousand, four hundred".