400448 has 14 divisors (see below), whose sum is σ = 794766. Its totient is φ = 200192.

The previous prime is 400441. The next prime is 400457. The reversal of 400448 is 844004.

It can be written as a sum of positive squares in only one way, i.e., 399424 + 1024 = 632^2 + 32^2 .

It is not an unprimeable number, because it can be changed into a prime (400441) by changing a digit.

400448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3065 + ... + 3192.

It is an arithmetic number, because the mean of its divisors is an integer number (56769).

2⁴⁰⁰⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

400448 is a deficient number, since it is larger than the sum of its proper divisors (394318).

400448 is an equidigital number, since it uses as much as digits as its factorization.

400448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 400448 is about 632.8096080181. The cubic root of 400448 is about 73.7081271449.

Adding to 400448 its product of nonzero digits (512), we get a triangular number (400960 = T₈₉₅).

Subtracting 400448 from its reverse (844004), we obtain a square (443556 = 666²).

It can be divided in two parts, 400 and 448, that added together give a palindrome (848).

The spelling of 400448 in words is "four hundred thousand, four hundred forty-eight".