48413600 has 72 divisors (see below), whose sum is σ = 119953260. Its totient is φ = 19077120.

The previous prime is 48413581. The next prime is 48413609. The reversal of 48413600 is 631484.

48413600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 20830096 + 27583504 = 4564^2 + 5252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48413600.

It is not an unprimeable number, because it can be changed into a prime (48413609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57986 + ... + 58814.

Almost surely, 2^48413600 is an apocalyptic number.

48413600 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 48413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59976630).

48413600 is an abundant number, since it is smaller than the sum of its proper divisors (71539660).

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

48413600 is a wasteful number, since it uses less digits than its factorization.

48413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 48413600 is about 6957.9882149943. The cubic root of 48413600 is about 364.4649695405.

The spelling of 48413600 in words is "forty-eight million, four hundred thirteen thousand, six hundred".