48488040 has 72 divisors (see below), whose sum is σ = 158016690. Its totient is φ = 12894912.

The previous prime is 48488039. The next prime is 48488051. The reversal of 48488040 is 4088484.

It can be written as a sum of positive squares in only one way, i.e., 43639236 + 4848804 = 6606^2 + 2202^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 48487986 and 48488004.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 131937 + ... + 132303.

Almost surely, 2^48488040 is an apocalyptic number.

48488040 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 48488040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79008345).

48488040 is an abundant number, since it is smaller than the sum of its proper divisors (109528650).

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

48488040 is a wasteful number, since it uses less digits than its factorization.

48488040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 48488040 is about 6963.3354076908. The cubic root of 48488040 is about 364.6516724429.

The spelling of 48488040 in words is "forty-eight million, four hundred eighty-eight thousand, forty".