40448 has 20 divisors (see below), whose sum is σ = 81840. Its totient is φ = 19968.

The previous prime is 40433. The next prime is 40459. The reversal of 40448 is 84404.

40448 is nontrivially palindromic in base 3.

It is a congruent number.

It is an unprimeable number.

40448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 473 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (4092).

2⁴⁰⁴⁴⁸ 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 40448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40920).

40448 is an abundant number, since it is smaller than the sum of its proper divisors (41392).

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

40448 is an frugal number, since it uses more digits than its factorization.

40448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

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

The square root of 40448 is about 201.1168814396. The cubic root of 40448 is about 34.3267234162.

Subtracting 40448 from its reverse (84404), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 40448 in words is "forty thousand, four hundred forty-eight".