48017200 has 120 divisors (see below), whose sum is σ = 143919360. Its totient is φ = 14956800.

The previous prime is 48017183. The next prime is 48017201. The reversal of 48017200 is 271084.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (48017201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30021 + ... + 31579.

It is an arithmetic number, because the mean of its divisors is an integer number (1199328).

Almost surely, 2^48017200 is an apocalyptic number.

48017200 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 48017200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71959680).

48017200 is an abundant number, since it is smaller than the sum of its proper divisors (95902160).

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

48017200 is a wasteful number, since it uses less digits than its factorization.

48017200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 48017200 is about 6929.4444221741. Note that the first 4 decimals coincide. The cubic root of 48017200 is about 363.4675223744.

Adding to 48017200 its reverse (271084), we get a palindrome (48288284).

The spelling of 48017200 in words is "forty-eight million, seventeen thousand, two hundred".