217448448 has 144 divisors (see below), whose sum is σ = 671086080. Its totient is φ = 61341696.

The previous prime is 217448443. The next prime is 217448459. The reversal of 217448448 is 844844712.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217448443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2752473 + ... + 2752551.

It is an arithmetic number, because the mean of its divisors is an integer number (4660320).

Almost surely, 2^217448448 is an apocalyptic number.

217448448 is a gapful number since it is divisible by the number (28) 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 217448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

217448448 is an abundant number, since it is smaller than the sum of its proper divisors (453637632).

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

217448448 is an frugal number, since it uses more digits than its factorization.

217448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its digits is 229376, while the sum is 42.

The square root of 217448448 is about 14746.1333236886. The cubic root of 217448448 is about 601.3381688437.

The spelling of 217448448 in words is "two hundred seventeen million, four hundred forty-eight thousand, four hundred forty-eight".