48919680 has 256 divisors, whose sum is σ = 183600000. Its totient is φ = 12275712.

The previous prime is 48919669. The next prime is 48919751. The reversal of 48919680 is 8691984.

48919680 is a `hidden beast` number, since 489 + 1 + 96 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328246 + ... + 328394.

Almost surely, 2^48919680 is an apocalyptic number.

48919680 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 48919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800000).

48919680 is an abundant number, since it is smaller than the sum of its proper divisors (134680320).

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

48919680 is a wasteful number, since it uses less digits than its factorization.

48919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 48919680 is about 6994.2605041562. The cubic root of 48919680 is about 365.7305191827.

The spelling of 48919680 in words is "forty-eight million, nine hundred nineteen thousand, six hundred eighty".