48000540 has 96 divisors (see below), whose sum is σ = 160312320. Its totient is φ = 10492416.

The previous prime is 48000529. The next prime is 48000551. The reversal of 48000540 is 4500084.

It is an interprime number because it is at equal distance from previous prime (48000529) and next prime (48000551).

It is a Harshad number since it is a multiple of its sum of digits (21).

48000540 is a modest number, since divided by 540 gives 480 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7176 + ... + 12144.

It is an arithmetic number, because the mean of its divisors is an integer number (1669920).

Almost surely, 2^48000540 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 48000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80156160).

48000540 is an abundant number, since it is smaller than the sum of its proper divisors (112311780).

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

48000540 is a wasteful number, since it uses less digits than its factorization.

48000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 48000540 is about 6928.2422013091. The cubic root of 48000540 is about 363.4254814018.

The spelling of 48000540 in words is "forty-eight million, five hundred forty", and thus it is an aban number.