48669984 has 144 divisors (see below), whose sum is σ = 156854880. Its totient is φ = 14722560.

The previous prime is 48669977. The next prime is 48670019. The reversal of 48669984 is 48996684.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48669984.

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 23 ways as a sum of consecutive naturals, for example, 85252 + ... + 85820.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^48669984 is an apocalyptic number.

48669984 is a gapful number since it is divisible by the number (44) 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 48669984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

48669984 is an abundant number, since it is smaller than the sum of its proper divisors (108184896).

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

48669984 is a wasteful number, since it uses less digits than its factorization.

48669984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 585 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 48669984 is about 6976.3876039108. The cubic root of 48669984 is about 365.1072031387.

It can be divided in two parts, 486 and 69984, that multiplied together give a 6-th power (34012224 = 18⁶).

The spelling of 48669984 in words is "forty-eight million, six hundred sixty-nine thousand, nine hundred eighty-four".