48631840 has 96 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 18299904.

The previous prime is 48631831. The next prime is 48631841. The reversal of 48631840 is 4813684.

It is a junction number, because it is equal to n+sod(n) for n = 48631796 and 48631805.

It is not an unprimeable number, because it can be changed into a prime (48631841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217969 + ... + 218191.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^48631840 is an apocalyptic number.

48631840 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 48631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

48631840 is an abundant number, since it is smaller than the sum of its proper divisors (73295840).

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

48631840 is a wasteful number, since it uses less digits than its factorization.

48631840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 48631840 is about 6973.6532750059. The cubic root of 48631840 is about 365.0117967039.

It can be divided in two parts, 4 and 8631840, that added together give a square (8631844 = 2938²).

The spelling of 48631840 in words is "forty-eight million, six hundred thirty-one thousand, eight hundred forty".