48217600 has 60 divisors (see below), whose sum is σ = 119494584. Its totient is φ = 19281920.

The previous prime is 48217597. The next prime is 48217601. The reversal of 48217600 is 671284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48217601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10917 + ... + 14683.

Almost surely, 2^48217600 is an apocalyptic number.

48217600 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 48217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59747292).

48217600 is an abundant number, since it is smaller than the sum of its proper divisors (71276984).

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

48217600 is an equidigital number, since it uses as much as digits as its factorization.

48217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 48217600 is about 6943.8894000409. The cubic root of 48217600 is about 363.9724650105.

Adding to 48217600 its reverse (671284), we get a palindrome (48888884).

It can be divided in two parts, 4821 and 7600, that added together give a palindrome (12421).

The spelling of 48217600 in words is "forty-eight million, two hundred seventeen thousand, six hundred".