48115200 has 240 divisors, whose sum is σ = 182666880. Its totient is φ = 10936320.

The previous prime is 48115157. The next prime is 48115213. The reversal of 48115200 is 251184.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268711 + ... + 268889.

It is an arithmetic number, because the mean of its divisors is an integer number (761112).

Almost surely, 2^48115200 is an apocalyptic number.

48115200 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 48115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91333440).

48115200 is an abundant number, since it is smaller than the sum of its proper divisors (134551680).

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

48115200 is a wasteful number, since it uses less digits than its factorization.

48115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 48115200 is about 6936.5120918225. The cubic root of 48115200 is about 363.7146255795.

Adding to 48115200 its reverse (251184), we get a palindrome (48366384).

It can be divided in two parts, 4811 and 5200, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 48115200 in words is "forty-eight million, one hundred fifteen thousand, two hundred".