448556940 has 360 divisors, whose sum is σ = 1626443280. Its totient is φ = 102829824.

The previous prime is 448556939. The next prime is 448556987. The reversal of 448556940 is 49655844.

448556940 is a `hidden beast` number, since 4 + 4 + 8 + 556 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7602631 + ... + 7602689.

It is an arithmetic number, because the mean of its divisors is an integer number (4517898).

Almost surely, 2^448556940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448556940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813221640).

448556940 is an abundant number, since it is smaller than the sum of its proper divisors (1177886340).

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

448556940 is a wasteful number, since it uses less digits than its factorization.

448556940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 448556940 is about 21179.1628729749. The cubic root of 448556940 is about 765.4894215350.

It can be divided in two parts, 4485 and 56940, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 448556940 in words is "four hundred forty-eight million, five hundred fifty-six thousand, nine hundred forty".