48576960 has 168 divisors, whose sum is σ = 169749216. Its totient is φ = 12748800.

The previous prime is 48576959. The next prime is 48577003. The reversal of 48576960 is 6967584.

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

It is a congruent number.

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, 290797 + ... + 290963.

It is an arithmetic number, because the mean of its divisors is an integer number (1010412).

Almost surely, 2^48576960 is an apocalyptic number.

48576960 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 48576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84874608).

48576960 is an abundant number, since it is smaller than the sum of its proper divisors (121172256).

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

48576960 is a wasteful number, since it uses less digits than its factorization.

48576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 48576960 is about 6969.7173543839. The cubic root of 48576960 is about 364.8744423334.

The spelling of 48576960 in words is "forty-eight million, five hundred seventy-six thousand, nine hundred sixty".