48424200 has 288 divisors, whose sum is σ = 178113600. Its totient is φ = 10841600.

The previous prime is 48424169. The next prime is 48424237. The reversal of 48424200 is 242484.

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

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 71 ways as a sum of consecutive naturals, for example, 1669786 + ... + 1669814.

It is an arithmetic number, because the mean of its divisors is an integer number (618450).

Almost surely, 2^48424200 is an apocalyptic number.

48424200 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 48424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

48424200 is an abundant number, since it is smaller than the sum of its proper divisors (129689400).

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

48424200 is a wasteful number, since it uses less digits than its factorization.

48424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 48424200 is about 6958.7498877313. The cubic root of 48424200 is about 364.4915670720.

Adding to 48424200 its reverse (242484), we get a palindrome (48666684).

The spelling of 48424200 in words is "forty-eight million, four hundred twenty-four thousand, two hundred".