48009600 has 144 divisors (see below), whose sum is σ = 171412020. Its totient is φ = 12794880.

The previous prime is 48009589. The next prime is 48009613. The reversal of 48009600 is 690084.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27967 + ... + 29633.

Almost surely, 2^48009600 is an apocalyptic number.

48009600 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 48009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85706010).

48009600 is an abundant number, since it is smaller than the sum of its proper divisors (123402420).

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

48009600 is a wasteful number, since it uses less digits than its factorization.

48009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48009600 is about 6928.8960159610. The cubic root of 48009600 is about 363.4483452260.

Adding to 48009600 its reverse (690084), we get a palindrome (48699684).

It can be divided in two parts, 4800 and 9600, that added together give a square (14400 = 120²).

The spelling of 48009600 in words is "forty-eight million, nine thousand, six hundred".