48396960 has 192 divisors, whose sum is σ = 179625600. Its totient is φ = 12128256.

The previous prime is 48396871. The next prime is 48396961. The reversal of 48396960 is 6969384.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48396961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73111 + ... + 73769.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 2^48396960 is an apocalyptic number.

48396960 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 48396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89812800).

48396960 is an abundant number, since it is smaller than the sum of its proper divisors (131228640).

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

48396960 is a wasteful number, since it uses less digits than its factorization.

48396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 48396960 is about 6956.7923643012. The cubic root of 48396960 is about 364.4232086025.

The spelling of 48396960 in words is "forty-eight million, three hundred ninety-six thousand, nine hundred sixty".