1386400 has 36 divisors (see below), whose sum is σ = 3386502. Its totient is φ = 554240.

The previous prime is 1386383. The next prime is 1386419. The reversal of 1386400 is 46831.

It can be written as a sum of positive squares in 3 ways, for example, as 992016 + 394384 = 996^2 + 628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67 + ... + 1666.

2^1386400 is an apocalyptic number.

1386400 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 1386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693251).

1386400 is an abundant number, since it is smaller than the sum of its proper divisors (2000102).

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

1386400 is a wasteful number, since it uses less digits than its factorization.

1386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1386400 is about 1177.4548823628. The cubic root of 1386400 is about 111.5054727284.

The spelling of 1386400 in words is "one million, three hundred eighty-six thousand, four hundred".