400848448 has 112 divisors (see below), whose sum is σ = 1068165504. Its totient is φ = 144138240.

The previous prime is 400848433. The next prime is 400848517. The reversal of 400848448 is 844848004.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 400848448.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60936 + ... + 67192.

It is an arithmetic number, because the mean of its divisors is an integer number (9537192).

Almost surely, 2^400848448 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 400848448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534082752).

400848448 is an abundant number, since it is smaller than the sum of its proper divisors (667317056).

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

400848448 is a wasteful number, since it uses less digits than its factorization.

400848448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300 (or 6290 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 400848448 is about 20021.1999640381. The cubic root of 400848448 is about 737.3268833541.

It can be divided in two parts, 400 and 848448, that added together give a palindrome (848848).

The spelling of 400848448 in words is "four hundred million, eight hundred forty-eight thousand, four hundred forty-eight".