408968448 has 144 divisors (see below), whose sum is σ = 1255833600. Its totient is φ = 115734528.

The previous prime is 408968447. The next prime is 408968453. The reversal of 408968448 is 844869804.

It is a self number, because there is not a number n which added to its sum of digits gives 408968448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408968447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682453 + ... + 683051.

Almost surely, 2^408968448 is an apocalyptic number.

408968448 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 408968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627916800).

408968448 is an abundant number, since it is smaller than the sum of its proper divisors (846865152).

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

408968448 is a wasteful number, since it uses less digits than its factorization.

408968448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 408968448 is about 20222.9683281164. The cubic root of 408968448 is about 742.2723237136.

The spelling of 408968448 in words is "four hundred eight million, nine hundred sixty-eight thousand, four hundred forty-eight".