48654180 has 72 divisors (see below), whose sum is σ = 148736952. Its totient is φ = 12873216.

The previous prime is 48654161. The next prime is 48654191. The reversal of 48654180 is 8145684.

48654180 is a nontrivial binomial coefficient, being equal to C(9865, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 2196324 + 46457856 = 1482^2 + 6816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 23674 + ... + 25646.

It is an arithmetic number, because the mean of its divisors is an integer number (2065791).

Almost surely, 2^48654180 is an apocalyptic number.

48654180 is the 9864-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48654180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74368476).

48654180 is an abundant number, since it is smaller than the sum of its proper divisors (100082772).

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

48654180 is a wasteful number, since it uses less digits than its factorization.

48654180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 48654180 is about 6975.2548340545. The cubic root of 48654180 is about 365.0676799499.

It can be divided in two parts, 4865 and 4180, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 48654180 in words is "forty-eight million, six hundred fifty-four thousand, one hundred eighty".