10400448 has 56 divisors (see below), whose sum is σ = 28976320. Its totient is φ = 3283200.

The previous prime is 10400443. The next prime is 10400449. The reversal of 10400448 is 84400401.

It is not an unprimeable number, because it can be changed into a prime (10400443) 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 7 ways as a sum of consecutive naturals, for example, 2223 + ... + 5073.

Almost surely, 2^10400448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488160).

10400448 is an abundant number, since it is smaller than the sum of its proper divisors (18575872).

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

10400448 is a wasteful number, since it uses less digits than its factorization.

10400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 10400448 is about 3224.9725580228. The cubic root of 10400448 is about 218.2817108237.

Adding to 10400448 its reverse (84400401), we get a palindrome (94800849).

The spelling of 10400448 in words is "ten million, four hundred thousand, four hundred forty-eight".