1004400 has 150 divisors (see below), whose sum is σ = 3720992. Its totient is φ = 259200.

The previous prime is 1004371. The next prime is 1004401. The reversal of 1004400 is 44001.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004401) 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 29 ways as a sum of consecutive naturals, for example, 32385 + ... + 32415.

2^1004400 is an apocalyptic number.

1004400 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 1004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860496).

1004400 is an abundant number, since it is smaller than the sum of its proper divisors (2716592).

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

1004400 is a wasteful number, since it uses less digits than its factorization.

1004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1004400 is about 1002.1975853094. The cubic root of 1004400 is about 100.1464520798.

Adding to 1004400 its reverse (44001), we get a palindrome (1048401).

The spelling of 1004400 in words is "one million, four thousand, four hundred".