48255840 has 288 divisors, whose sum is σ = 181149696. Its totient is φ = 11658240.

The previous prime is 48255829. The next prime is 48255841. The reversal of 48255840 is 4855284.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 48255795 and 48255804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48255841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026697 + ... + 1026743.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 2^48255840 is an apocalyptic number.

48255840 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 48255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90574848).

48255840 is an abundant number, since it is smaller than the sum of its proper divisors (132893856).

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

48255840 is a wasteful number, since it uses less digits than its factorization.

48255840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 48255840 is about 6946.6423544040. The cubic root of 48255840 is about 364.0686583042.

The spelling of 48255840 in words is "forty-eight million, two hundred fifty-five thousand, eight hundred forty".