48153600 has 396 divisors, whose sum is σ = 197985840. Its totient is φ = 11059200.

The previous prime is 48153577. The next prime is 48153629. The reversal of 48153600 is 635184.

48153600 is a `hidden beast` number, since 4 + 8 + 1 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

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, 2534391 + ... + 2534409.

Almost surely, 2^48153600 is an apocalyptic number.

48153600 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 48153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98992920).

48153600 is an abundant number, since it is smaller than the sum of its proper divisors (149832240).

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

48153600 is a wasteful number, since it uses less digits than its factorization.

48153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 48153600 is about 6939.2795015045. The cubic root of 48153600 is about 363.8113581972.

Adding to 48153600 its reverse (635184), we get a palindrome (48788784).

The spelling of 48153600 in words is "forty-eight million, one hundred fifty-three thousand, six hundred".