48256200 has 288 divisors, whose sum is σ = 182800800. Its totient is φ = 11335680.

The previous prime is 48256199. The next prime is 48256207. The reversal of 48256200 is 265284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48256207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 581359 + ... + 581441.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 2^48256200 is an apocalyptic number.

48256200 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 48256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

48256200 is an abundant number, since it is smaller than the sum of its proper divisors (134544600).

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

48256200 is a wasteful number, since it uses less digits than its factorization.

48256200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

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

The square root of 48256200 is about 6946.6682661546. The cubic root of 48256200 is about 364.0695636481.

It can be divided in two parts, 4825 and 6200, that added together give a square (11025 = 105²).

The spelling of 48256200 in words is "forty-eight million, two hundred fifty-six thousand, two hundred".