48861540 has 288 divisors, whose sum is σ = 193240320. Its totient is φ = 9704448.

The previous prime is 48861517. The next prime is 48861563. The reversal of 48861540 is 4516884.

It is an interprime number because it is at equal distance from previous prime (48861517) and next prime (48861563).

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

It is a junction number, because it is equal to n+sod(n) for n = 48861495 and 48861504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311142 + ... + 311298.

Almost surely, 2^48861540 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 48861540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96620160).

48861540 is an abundant number, since it is smaller than the sum of its proper divisors (144378780).

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

48861540 is a wasteful number, since it uses less digits than its factorization.

48861540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 206 counting only the distinct ones).

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

The square root of 48861540 is about 6990.1030035329. The cubic root of 48861540 is about 365.5855740964.

The spelling of 48861540 in words is "forty-eight million, eight hundred sixty-one thousand, five hundred forty".