448218540 has 288 divisors, whose sum is σ = 1722180096. Its totient is φ = 91653120.

The previous prime is 448218523. The next prime is 448218581. The reversal of 448218540 is 45812844.

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 = 448218495 and 448218504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1011559 + ... + 1012001.

It is an arithmetic number, because the mean of its divisors is an integer number (5979792).

Almost surely, 2^448218540 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 448218540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861090048).

448218540 is an abundant number, since it is smaller than the sum of its proper divisors (1273961556).

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

448218540 is a wasteful number, since it uses less digits than its factorization.

448218540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 544 counting only the distinct ones).

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

The square root of 448218540 is about 21171.1723813302. The cubic root of 448218540 is about 765.2968731155.

It can be divided in two parts, 44821 and 8540, that added together give a square (53361 = 231²).

The spelling of 448218540 in words is "four hundred forty-eight million, two hundred eighteen thousand, five hundred forty".