48652800 has 240 divisors, whose sum is σ = 184696512. Its totient is φ = 11059200.

The previous prime is 48652783. The next prime is 48652801. The reversal of 48652800 is 825684.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48652801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268710 + ... + 268890.

Almost surely, 2^48652800 is an apocalyptic number.

48652800 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 48652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92348256).

48652800 is an abundant number, since it is smaller than the sum of its proper divisors (136043712).

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

48652800 is a wasteful number, since it uses less digits than its factorization.

48652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 48652800 is about 6975.1559122359. The cubic root of 48652800 is about 365.0642283919.

The spelling of 48652800 in words is "forty-eight million, six hundred fifty-two thousand, eight hundred".