48743200 has 144 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 17024000.

The previous prime is 48743173. The next prime is 48743207. The reversal of 48743200 is 234784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48743207) 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, 255105 + ... + 255295.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^48743200 is an apocalyptic number.

48743200 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 48743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

48743200 is an abundant number, since it is smaller than the sum of its proper divisors (86248160).

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

48743200 is a wasteful number, since it uses less digits than its factorization.

48743200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 48743200 is about 6981.6330467878. The cubic root of 48743200 is about 365.2901926907.

Adding to 48743200 its reverse (234784), we get a palindrome (48977984).

The spelling of 48743200 in words is "forty-eight million, seven hundred forty-three thousand, two hundred".