404448 has 48 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 122240.

The previous prime is 404431. The next prime is 404449. The reversal of 404448 is 844404.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 865 + ... + 1247.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2⁴⁰⁴⁴⁴⁸ is an apocalyptic number.

404448 is a gapful number since it is divisible by the number (48) 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 404448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608).

404448 is an abundant number, since it is smaller than the sum of its proper divisors (756768).

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

404448 is a wasteful number, since it uses less digits than its factorization.

404448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 404448 is about 635.9622630314. The cubic root of 404448 is about 73.9527333898.

The spelling of 404448 in words is "four hundred four thousand, four hundred forty-eight".