10404400 has 90 divisors (see below), whose sum is σ = 27042540. Its totient is φ = 3836160.

The previous prime is 10404371. The next prime is 10404403. The reversal of 10404400 is 440401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10404403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 281182 + ... + 281218.

Almost surely, 2^10404400 is an apocalyptic number.

10404400 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 10404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521270).

10404400 is an abundant number, since it is smaller than the sum of its proper divisors (16638140).

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

10404400 is a wasteful number, since it uses less digits than its factorization.

10404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 10404400 is about 3225.5852182201. The cubic root of 10404400 is about 218.3093551483.

Adding to 10404400 its reverse (440401), we get a palindrome (10844801).

It can be divided in two parts, 10404 and 400, that multiplied together give a square (4161600 = 2040²).

The spelling of 10404400 in words is "ten million, four hundred four thousand, four hundred".