48201600 has 96 divisors (see below), whose sum is σ = 158795640. Its totient is φ = 12851200.

The previous prime is 48201577. The next prime is 48201617. The reversal of 48201600 is 610284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7090 + ... + 12110.

Almost surely, 2^48201600 is an apocalyptic number.

48201600 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 48201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79397820).

48201600 is an abundant number, since it is smaller than the sum of its proper divisors (110594040).

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

48201600 is a wasteful number, since it uses less digits than its factorization.

48201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 48201600 is about 6942.7372123680. The cubic root of 48201600 is about 363.9322016786.

Adding to 48201600 its reverse (610284), we get a palindrome (48811884).

The spelling of 48201600 in words is "forty-eight million, two hundred one thousand, six hundred".