448118400 has 96 divisors (see below), whose sum is σ = 1476021600. Its totient is φ = 119495680.

The previous prime is 448118389. The next prime is 448118441. The reversal of 448118400 is 4811844.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13740 + ... + 32939.

It is an arithmetic number, because the mean of its divisors is an integer number (15375225).

Almost surely, 2^448118400 is an apocalyptic number.

448118400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448118400 is an abundant number, since it is smaller than the sum of its proper divisors (1027903200).

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

448118400 is a wasteful number, since it uses less digits than its factorization.

448118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46706 (or 46689 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 448118400 is about 21168.8072408438. The cubic root of 448118400 is about 765.2398752227.

The spelling of 448118400 in words is "four hundred forty-eight million, one hundred eighteen thousand, four hundred".