1382400 has 144 divisors (see below), whose sum is σ = 5077800. Its totient is φ = 368640.

The previous prime is 1382393. The next prime is 1382419. The reversal of 1382400 is 42831.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 5! ⋅ (2!)⁴.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1382400² = 3822059520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276478 + ... + 276482.

2^1382400 is an apocalyptic number.

1382400 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 1382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538900).

1382400 is an abundant number, since it is smaller than the sum of its proper divisors (3695400).

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

1382400 is an equidigital number, since it uses as much as digits as its factorization.

1382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1382400 is about 1175.7550765359. The cubic root of 1382400 is about 111.3981320067.

The spelling of 1382400 in words is "one million, three hundred eighty-two thousand, four hundred".