48180240 has 120 divisors (see below), whose sum is σ = 164607768. Its totient is φ = 12625920.

The previous prime is 48180199. The next prime is 48180241. The reversal of 48180240 is 4208184.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 47775744 = 636^2 + 6912^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (48180241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43372 + ... + 44468.

Almost surely, 2^48180240 is an apocalyptic number.

48180240 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 48180240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82303884).

48180240 is an abundant number, since it is smaller than the sum of its proper divisors (116427528).

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

48180240 is a wasteful number, since it uses less digits than its factorization.

48180240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48180240 is about 6941.1987437330. The cubic root of 48180240 is about 363.8784362408.

The spelling of 48180240 in words is "forty-eight million, one hundred eighty thousand, two hundred forty".