48416256 has 240 divisors, whose sum is σ = 170227200. Its totient is φ = 12939264.

The previous prime is 48416243. The next prime is 48416257. The reversal of 48416256 is 65261484.

48416256 = T₁₅₃ + T₁₅₄ + ... + T₆₆₄.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48416256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48416257) 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, 612825 + ... + 612903.

It is an arithmetic number, because the mean of its divisors is an integer number (709280).

Almost surely, 2^48416256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85113600).

48416256 is an abundant number, since it is smaller than the sum of its proper divisors (121810944).

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

48416256 is a wasteful number, since it uses less digits than its factorization.

48416256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 48416256 is about 6958.1790721424. The cubic root of 48416256 is about 364.4716343431.

The spelling of 48416256 in words is "forty-eight million, four hundred sixteen thousand, two hundred fifty-six".