448540560 has 240 divisors, whose sum is σ = 1637488944. Its totient is φ = 109375488.

The previous prime is 448540541. The next prime is 448540571. The reversal of 448540560 is 65045844.

448540560 is a `hidden beast` number, since 4 + 48 + 54 + 0 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18558864 + 429981696 = 4308^2 + 20736^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×448540560² = 402377267930227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1619142 + ... + 1619418.

Almost surely, 2^448540560 is an apocalyptic number.

448540560 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 448540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818744472).

448540560 is an abundant number, since it is smaller than the sum of its proper divisors (1188948384).

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

448540560 is a wasteful number, since it uses less digits than its factorization.

448540560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 448540560 is about 21178.7761686080. The cubic root of 448540560 is about 765.4801036029.

The spelling of 448540560 in words is "four hundred forty-eight million, five hundred forty thousand, five hundred sixty".