48007960 has 192 divisors, whose sum is σ = 147470400. Its totient is φ = 13685760.

The previous prime is 48007957. The next prime is 48007961. The reversal of 48007960 is 6970084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48007961) 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, 440386 + ... + 440494.

It is an arithmetic number, because the mean of its divisors is an integer number (768075).

Almost surely, 2^48007960 is an apocalyptic number.

48007960 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 48007960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73735200).

48007960 is an abundant number, since it is smaller than the sum of its proper divisors (99462440).

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

48007960 is a wasteful number, since it uses less digits than its factorization.

48007960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 48007960 is about 6928.7776699790. Note that the first 3 decimals coincide. The cubic root of 48007960 is about 363.4442067337. Note that the first 3 decimals are identical.

The spelling of 48007960 in words is "forty-eight million, seven thousand, nine hundred sixty".