48217200 has 120 divisors (see below), whose sum is σ = 161263488. Its totient is φ = 12291840.

The previous prime is 48217181. The next prime is 48217217. The reversal of 48217200 is 271284.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26727 + ... + 28473.

Almost surely, 2^48217200 is an apocalyptic number.

48217200 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 48217200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80631744).

48217200 is an abundant number, since it is smaller than the sum of its proper divisors (113046288).

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

48217200 is a wasteful number, since it uses less digits than its factorization.

48217200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 48217200 is about 6943.8605976791. The cubic root of 48217200 is about 363.9714585358.

Adding to 48217200 its reverse (271284), we get a palindrome (48488484).

It can be divided in two parts, 4821 and 7200, that added together give a palindrome (12021).

The spelling of 48217200 in words is "forty-eight million, two hundred seventeen thousand, two hundred".