48655200 has 288 divisors, whose sum is σ = 183738240. Its totient is φ = 11059200.

The previous prime is 48655193. The next prime is 48655237. The reversal of 48655200 is 255684.

48655200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 501552 + ... + 501648.

It is an arithmetic number, because the mean of its divisors is an integer number (637980).

Almost surely, 2^48655200 is an apocalyptic number.

48655200 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 48655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91869120).

48655200 is an abundant number, since it is smaller than the sum of its proper divisors (135083040).

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

48655200 is a wasteful number, since it uses less digits than its factorization.

48655200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 48655200 is about 6975.3279492795. The cubic root of 48655200 is about 365.0702310594.

The spelling of 48655200 in words is "forty-eight million, six hundred fifty-five thousand, two hundred".