1304400 has 60 divisors (see below), whose sum is σ = 4182272. Its totient is φ = 347520.

The previous prime is 1304389. The next prime is 1304411. The reversal of 1304400 is 44031.

It is an interprime number because it is at equal distance from previous prime (1304389) and next prime (1304411).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 11 ways as a sum of consecutive naturals, for example, 657 + ... + 1743.

2^1304400 is an apocalyptic number.

1304400 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 1304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091136).

1304400 is an abundant number, since it is smaller than the sum of its proper divisors (2877872).

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

1304400 is a wasteful number, since it uses less digits than its factorization.

1304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1304400 is about 1142.1033228215. The cubic root of 1304400 is about 109.2622811539.

Adding to 1304400 its reverse (44031), we get a palindrome (1348431).

The spelling of 1304400 in words is "one million, three hundred four thousand, four hundred".