48618000 has 240 divisors, whose sum is σ = 176784816. Its totient is φ = 12441600.

The previous prime is 48617999. The next prime is 48618001. The reversal of 48618000 is 81684.

48618000 is a `hidden beast` number, since 48 + 618 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48617999) and next prime (48618001).

It can be written as a sum of positive squares in 8 ways, for example, as 5531904 + 43086096 = 2352^2 + 6564^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (48618001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665964 + ... + 666036.

Almost surely, 2^48618000 is an apocalyptic number.

48618000 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 48618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88392408).

48618000 is an abundant number, since it is smaller than the sum of its proper divisors (128166816).

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

48618000 is a wasteful number, since it uses less digits than its factorization.

48618000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 48618000 is about 6972.6608981077. The cubic root of 48618000 is about 364.9771675215.

Adding to 48618000 its reverse (81684), we get a palindrome (48699684).

The spelling of 48618000 in words is "forty-eight million, six hundred eighteen thousand".