48961040 has 80 divisors (see below), whose sum is σ = 118087680. Its totient is φ = 18869760.

The previous prime is 48961039. The next prime is 48961051. The reversal of 48961040 is 4016984.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 48960988 and 48961006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385457 + ... + 385583.

It is an arithmetic number, because the mean of its divisors is an integer number (1476096).

Almost surely, 2^48961040 is an apocalyptic number.

48961040 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 48961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59043840).

48961040 is an abundant number, since it is smaller than the sum of its proper divisors (69126640).

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

48961040 is a wasteful number, since it uses less digits than its factorization.

48961040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 48961040 is about 6997.2165894733. The cubic root of 48961040 is about 365.8335612389.

The spelling of 48961040 in words is "forty-eight million, nine hundred sixty-one thousand, forty".