48339200 has 216 divisors, whose sum is σ = 149032128. Its totient is φ = 15114240.

The previous prime is 48339197. The next prime is 48339209. The reversal of 48339200 is 293384.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (48339209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582359 + ... + 582441.

Almost surely, 2^48339200 is an apocalyptic number.

48339200 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 48339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74516064).

48339200 is an abundant number, since it is smaller than the sum of its proper divisors (100692928).

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

48339200 is a wasteful number, since it uses less digits than its factorization.

48339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 48339200 is about 6952.6397864408. The cubic root of 48339200 is about 364.2781756372.

Adding to 48339200 its product of nonzero digits (5184), we get a palindrome (48344384).

The spelling of 48339200 in words is "forty-eight million, three hundred thirty-nine thousand, two hundred".