48682200 has 192 divisors, whose sum is σ = 176060160. Its totient is φ = 10897920.

The previous prime is 48682189. The next prime is 48682201. The reversal of 48682200 is 228684.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48682201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281314 + ... + 281486.

It is an arithmetic number, because the mean of its divisors is an integer number (916980).

Almost surely, 2^48682200 is an apocalyptic number.

48682200 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 48682200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88030080).

48682200 is an abundant number, since it is smaller than the sum of its proper divisors (127377960).

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

48682200 is a wasteful number, since it uses less digits than its factorization.

48682200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48682200 is about 6977.2630737274. The cubic root of 48682200 is about 365.1377474710.

The spelling of 48682200 in words is "forty-eight million, six hundred eighty-two thousand, two hundred".