48091200 has 168 divisors, whose sum is σ = 162141408. Its totient is φ = 12472320.

The previous prime is 48091189. The next prime is 48091201. The reversal of 48091200 is 219084.

It is a super-3 number, since 3×48091200³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48091201) by changing a digit.

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, 206284 + ... + 206516.

Almost surely, 2^48091200 is an apocalyptic number.

48091200 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 48091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81070704).

48091200 is an abundant number, since it is smaller than the sum of its proper divisors (114050208).

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

48091200 is a wasteful number, since it uses less digits than its factorization.

48091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 48091200 is about 6934.7818999591. The cubic root of 48091200 is about 363.6541415551.

The spelling of 48091200 in words is "forty-eight million, ninety-one thousand, two hundred".