48665600 has 66 divisors (see below), whose sum is σ = 120695214. Its totient is φ = 19456000.

The previous prime is 48665599. The next prime is 48665609. The reversal of 48665600 is 656684.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 48664576 = 32^2 + 6976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48665609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24650 + ... + 26550.

Almost surely, 2^48665600 is an apocalyptic number.

48665600 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 48665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60347607).

48665600 is an abundant number, since it is smaller than the sum of its proper divisors (72029614).

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

48665600 is a wasteful number, since it uses less digits than its factorization.

48665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 48665600 is about 6976.0733941093. The cubic root of 48665600 is about 365.0962403378.

The spelling of 48665600 in words is "forty-eight million, six hundred sixty-five thousand, six hundred".