1679384448 has 384 divisors, whose sum is σ = 5916326400. Its totient is φ = 467389440.

The previous prime is 1679384431. The next prime is 1679384459. The reversal of 1679384448 is 8444839761.

1679384448 is a `hidden beast` number, since 167 + 9 + 38 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 junction number, because it is equal to n+sod(n) for n = 1679384394 and 1679384403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7959063 + ... + 7959273.

It is an arithmetic number, because the mean of its divisors is an integer number (15407100).

Almost surely, 2^1679384448 is an apocalyptic number.

1679384448 is a gapful number since it is divisible by the number (18) 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 1679384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958163200).

1679384448 is an abundant number, since it is smaller than the sum of its proper divisors (4236941952).

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

1679384448 is a wasteful number, since it uses less digits than its factorization.

1679384448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 1679384448 is about 40980.2934103698. The cubic root of 1679384448 is about 1188.6391826162.

The spelling of 1679384448 in words is "one billion, six hundred seventy-nine million, three hundred eighty-four thousand, four hundred forty-eight".