448815240 has 96 divisors (see below), whose sum is σ = 1462757400. Its totient is φ = 119347200.

The previous prime is 448815229. The next prime is 448815253. The reversal of 448815240 is 42518844.

It can be written as a sum of positive squares in 4 ways, for example, as 410548644 + 38266596 = 20262^2 + 6186^2 .

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 = 448815195 and 448815204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142806 + ... + 145914.

Almost surely, 2^448815240 is an apocalyptic number.

448815240 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 448815240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731378700).

448815240 is an abundant number, since it is smaller than the sum of its proper divisors (1013942160).

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

448815240 is a wasteful number, since it uses less digits than its factorization.

448815240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 448815240 is about 21185.2599700830. The cubic root of 448815240 is about 765.6363281734.

The spelling of 448815240 in words is "four hundred forty-eight million, eight hundred fifteen thousand, two hundred forty".