361500048 has 240 divisors, whose sum is σ = 1272835200. Its totient is φ = 95171328.

The previous prime is 361500043. The next prime is 361500059. The reversal of 361500048 is 840005163.

361500048 is a `hidden beast` number, since 3 + 615 + 0 + 0 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 361499994 and 361500030.

It is not an unprimeable number, because it can be changed into a prime (361500043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 641815 + ... + 642377.

It is an arithmetic number, because the mean of its divisors is an integer number (5303480).

Almost surely, 2^361500048 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 361500048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636417600).

361500048 is an abundant number, since it is smaller than the sum of its proper divisors (911335152).

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

361500048 is a wasteful number, since it uses less digits than its factorization.

361500048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 361500048 is about 19013.1546041155. The cubic root of 361500048 is about 712.3653492547.

The spelling of 361500048 in words is "three hundred sixty-one million, five hundred thousand, forty-eight".