48164040 has 96 divisors (see below), whose sum is σ = 157393080. Its totient is φ = 12773376.

The previous prime is 48164033. The next prime is 48164059. The reversal of 48164040 is 4046184.

It can be written as a sum of positive squares in 4 ways, for example, as 37234404 + 10929636 = 6102^2 + 3306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48163995 and 48164013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121122 + ... + 121518.

Almost surely, 2^48164040 is an apocalyptic number.

48164040 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 48164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78696540).

48164040 is an abundant number, since it is smaller than the sum of its proper divisors (109229040).

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

48164040 is a wasteful number, since it uses less digits than its factorization.

48164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48164040 is about 6940.0317002158. The cubic root of 48164040 is about 363.8376484858.

The spelling of 48164040 in words is "forty-eight million, one hundred sixty-four thousand, forty".