448241040 has 400 divisors, whose sum is σ = 1780854768. Its totient is φ = 103514112.

The previous prime is 448241033. The next prime is 448241041. The reversal of 448241040 is 40142844.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 92390544 + 355850496 = 9612^2 + 18864^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 448240995 and 448241013.

It is not an unprimeable number, because it can be changed into a prime (448241041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1431924 + ... + 1432236.

Almost surely, 2^448241040 is an apocalyptic number.

448241040 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 448241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890427384).

448241040 is an abundant number, since it is smaller than the sum of its proper divisors (1332613728).

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

448241040 is a wasteful number, since it uses less digits than its factorization.

448241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 448241040 is about 21171.7037576101. The cubic root of 448241040 is about 765.3096785441.

Adding to 448241040 its reverse (40142844), we get a palindrome (488383884).

The spelling of 448241040 in words is "four hundred forty-eight million, two hundred forty-one thousand, forty".