48256000 has 176 divisors, whose sum is σ = 134119440. Its totient is φ = 17203200.

The previous prime is 48255989. The next prime is 48256007. The reversal of 48256000 is 65284.

48256000 = 155² + 156² + ... + 529².

It can be written as a sum of positive squares in 8 ways, for example, as 24285184 + 23970816 = 4928^2 + 4896^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48256007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1663986 + ... + 1664014.

Almost surely, 2^48256000 is an apocalyptic number.

48256000 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 48256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67059720).

48256000 is an abundant number, since it is smaller than the sum of its proper divisors (85863440).

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

48256000 is a wasteful number, since it uses less digits than its factorization.

48256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 48256000 is about 6946.6538707496. The cubic root of 48256000 is about 364.0690606798.

The spelling of 48256000 in words is "forty-eight million, two hundred fifty-six thousand".