448026880 has 144 divisors (see below), whose sum is σ = 1266822144. Its totient is φ = 148561920.

The previous prime is 448026871. The next prime is 448026893. The reversal of 448026880 is 88620844.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 276954 + ... + 278566.

It is an arithmetic number, because the mean of its divisors is an integer number (8797376).

Almost surely, 2^448026880 is an apocalyptic number.

448026880 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 448026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633411072).

448026880 is an abundant number, since it is smaller than the sum of its proper divisors (818795264).

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

448026880 is a wasteful number, since it uses less digits than its factorization.

448026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 448026880 is about 21166.6454593070. The cubic root of 448026880 is about 765.1877762524.

The spelling of 448026880 in words is "four hundred forty-eight million, twenty-six thousand, eight hundred eighty".