1384400 has 30 divisors (see below), whose sum is σ = 3326982. Its totient is φ = 553600.

The previous prime is 1384391. The next prime is 1384403. The reversal of 1384400 is 44831.

It can be written as a sum of positive squares in 3 ways, for example, as 10816 + 1373584 = 104^2 + 1172^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1331 + ... + 2130.

2^1384400 is an apocalyptic number.

1384400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1384400 is an abundant number, since it is smaller than the sum of its proper divisors (1942582).

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

1384400 is a wasteful number, since it uses less digits than its factorization.

1384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1384400 is about 1176.6052864066. The cubic root of 1384400 is about 111.4518282128.

The spelling of 1384400 in words is "one million, three hundred eighty-four thousand, four hundred".