48159200 has 72 divisors (see below), whose sum is σ = 120820392. Its totient is φ = 18731520.

The previous prime is 48159193. The next prime is 48159203. The reversal of 48159200 is 295184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48159203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28787 + ... + 30413.

It is an arithmetic number, because the mean of its divisors is an integer number (1678061).

Almost surely, 2^48159200 is an apocalyptic number.

48159200 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 48159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60410196).

48159200 is an abundant number, since it is smaller than the sum of its proper divisors (72661192).

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

48159200 is a wasteful number, since it uses less digits than its factorization.

48159200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 48159200 is about 6939.6829898779. The cubic root of 48159200 is about 363.8254607401.

The spelling of 48159200 in words is "forty-eight million, one hundred fifty-nine thousand, two hundred".