448897920 has 192 divisors, whose sum is σ = 1521860400. Its totient is φ = 112525312.

The previous prime is 448897909. The next prime is 448897921. The reversal of 448897920 is 29798844.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448897921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554476 + ... + 555284.

Almost surely, 2^448897920 is an apocalyptic number.

448897920 is a gapful number since it is divisible by the number (40) 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 448897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760930200).

448897920 is an abundant number, since it is smaller than the sum of its proper divisors (1072962480).

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

448897920 is a wasteful number, since it uses less digits than its factorization.

448897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 448897920 is about 21187.2112369703. The cubic root of 448897920 is about 765.6833400387.

The spelling of 448897920 in words is "four hundred forty-eight million, eight hundred ninety-seven thousand, nine hundred twenty".