48225600 has 252 divisors, whose sum is σ = 182409084. Its totient is φ = 12042240.

The previous prime is 48225589. The next prime is 48225613. The reversal of 48225600 is 652284.

It can be written as a sum of positive squares in 6 ways, for example, as 4981824 + 43243776 = 2232^2 + 6576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244702 + ... + 244898.

Almost surely, 2^48225600 is an apocalyptic number.

48225600 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 48225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91204542).

48225600 is an abundant number, since it is smaller than the sum of its proper divisors (134183484).

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

48225600 is a wasteful number, since it uses less digits than its factorization.

48225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48225600 is about 6944.4654221905. The cubic root of 48225600 is about 363.9925933364.

Adding to 48225600 its reverse (652284), we get a palindrome (48877884).

The spelling of 48225600 in words is "forty-eight million, two hundred twenty-five thousand, six hundred".