48117600 has 216 divisors, whose sum is σ = 174879432. Its totient is φ = 12441600.

The previous prime is 48117581. The next prime is 48117607. The reversal of 48117600 is 671184.

It is a happy number.

48117600 is a `hidden beast` number, since 48 + 1 + 17 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48117607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295119 + ... + 295281.

It is an arithmetic number, because the mean of its divisors is an integer number (809627).

Almost surely, 2^48117600 is an apocalyptic number.

48117600 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 48117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87439716).

48117600 is an abundant number, since it is smaller than the sum of its proper divisors (126761832).

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

48117600 is a wasteful number, since it uses less digits than its factorization.

48117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 48117600 is about 6936.6850872733. The cubic root of 48117600 is about 363.7206728756.

Adding to 48117600 its reverse (671184), we get a palindrome (48788784).

It can be divided in two parts, 481 and 17600, that added together give a palindrome (18081).

The spelling of 48117600 in words is "forty-eight million, one hundred seventeen thousand, six hundred".