48460640 has 72 divisors (see below), whose sum is σ = 120975120. Its totient is φ = 18342144.

The previous prime is 48460627. The next prime is 48460649. The reversal of 48460640 is 4606484.

48460640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 48460597 and 48460606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48460649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57341 + ... + 58179.

It is an arithmetic number, because the mean of its divisors is an integer number (1680210).

Almost surely, 2^48460640 is an apocalyptic number.

48460640 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 48460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60487560).

48460640 is an abundant number, since it is smaller than the sum of its proper divisors (72514480).

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

48460640 is a wasteful number, since it uses less digits than its factorization.

48460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 48460640 is about 6961.3676817131. The cubic root of 48460640 is about 364.5829727634.

The spelling of 48460640 in words is "forty-eight million, four hundred sixty thousand, six hundred forty".