448252560 has 480 divisors, whose sum is σ = 1881784320. Its totient is φ = 93312000.

The previous prime is 448252547. The next prime is 448252561. The reversal of 448252560 is 65252844.

It is a happy number.

448252560 is a `hidden beast` number, since 4 + 48 + 2 + 52 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (448252561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2968485 + ... + 2968635.

It is an arithmetic number, because the mean of its divisors is an integer number (3920384).

Almost surely, 2^448252560 is an apocalyptic number.

448252560 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 448252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940892160).

448252560 is an abundant number, since it is smaller than the sum of its proper divisors (1433531760).

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

448252560 is a wasteful number, since it uses less digits than its factorization.

448252560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

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

The square root of 448252560 is about 21171.9758171031. The cubic root of 448252560 is about 765.3162347577.

The spelling of 448252560 in words is "four hundred forty-eight million, two hundred fifty-two thousand, five hundred sixty".