48719880 has 160 divisors (see below), whose sum is σ = 178770240. Its totient is φ = 11802240.

The previous prime is 48719851. The next prime is 48719887. The reversal of 48719880 is 8891784.

48719880 is a `hidden beast` number, since 487 + 1 + 98 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48719887) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 34957 + ... + 36323.

It is an arithmetic number, because the mean of its divisors is an integer number (1117314).

Almost surely, 2^48719880 is an apocalyptic number.

48719880 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 48719880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89385120).

48719880 is an abundant number, since it is smaller than the sum of its proper divisors (130050360).

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

48719880 is a wasteful number, since it uses less digits than its factorization.

48719880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 48719880 is about 6979.9627506169. The cubic root of 48719880 is about 365.2319286583.

The spelling of 48719880 in words is "forty-eight million, seven hundred nineteen thousand, eight hundred eighty".