448426440 has 288 divisors, whose sum is σ = 1850247360. Its totient is φ = 93139200.

The previous prime is 448426427. The next prime is 448426457. The reversal of 448426440 is 44624844.

448426440 is a `hidden beast` number, since 4 + 4 + 8 + 4 + 2 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 448426395 and 448426404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 192885 + ... + 195195.

It is an arithmetic number, because the mean of its divisors is an integer number (6424470).

Almost surely, 2^448426440 is an apocalyptic number.

448426440 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 448426440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925123680).

448426440 is an abundant number, since it is smaller than the sum of its proper divisors (1401820920).

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

448426440 is a wasteful number, since it uses less digits than its factorization.

448426440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 448426440 is about 21176.0817905485. The cubic root of 448426440 is about 765.4151789660.

The spelling of 448426440 in words is "four hundred forty-eight million, four hundred twenty-six thousand, four hundred forty".