48208600 has 96 divisors (see below), whose sum is σ = 129567600. Its totient is φ = 16486400.

The previous prime is 48208553. The next prime is 48208607. The reversal of 48208600 is 680284.

It is a super-2 number, since 2×48208600² = 4648138227920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48208607) 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, 36756 + ... + 38044.

Almost surely, 2^48208600 is an apocalyptic number.

48208600 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 48208600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64783800).

48208600 is an abundant number, since it is smaller than the sum of its proper divisors (81359000).

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

48208600 is a wasteful number, since it uses less digits than its factorization.

48208600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 48208600 is about 6943.2413180013. The cubic root of 48208600 is about 363.9498179825.

Adding to 48208600 its reverse (680284), we get a palindrome (48888884).

The spelling of 48208600 in words is "forty-eight million, two hundred eight thousand, six hundred".