48361140 has 72 divisors (see below), whose sum is σ = 150296328. Its totient is φ = 12579840.

The previous prime is 48361133. The next prime is 48361151. The reversal of 48361140 is 4116384.

48361140 is a `hidden beast` number, since 4 + 8 + 3 + 611 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86436 + 48274704 = 294^2 + 6948^2 .

It is a congruent number.

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, 4104 + ... + 10656.

It is an arithmetic number, because the mean of its divisors is an integer number (2087449).

Almost surely, 2^48361140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48361140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75148164).

48361140 is an abundant number, since it is smaller than the sum of its proper divisors (101935188).

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

48361140 is a wasteful number, since it uses less digits than its factorization.

48361140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48361140 is about 6954.2174254189. The cubic root of 48361140 is about 364.3332796681. Note that the first 3 decimals are identical.

The spelling of 48361140 in words is "forty-eight million, three hundred sixty-one thousand, one hundred forty".