48265200 has 240 divisors, whose sum is σ = 177592800. Its totient is φ = 12441600.

The previous prime is 48265199. The next prime is 48265219. The reversal of 48265200 is 256284.

48265200 is a `hidden beast` number, since 4 + 8 + 2 + 652 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442746 + ... + 442854.

It is an arithmetic number, because the mean of its divisors is an integer number (739970).

Almost surely, 2^48265200 is an apocalyptic number.

48265200 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 48265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88796400).

48265200 is an abundant number, since it is smaller than the sum of its proper divisors (129327600).

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

48265200 is a wasteful number, since it uses less digits than its factorization.

48265200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48265200 is about 6947.3160285106. The cubic root of 48265200 is about 364.0921957824.

The spelling of 48265200 in words is "forty-eight million, two hundred sixty-five thousand, two hundred".