388784448 has 196 divisors, whose sum is σ = 1247633268. Its totient is φ = 119439360.

The previous prime is 388784447. The next prime is 388784467. The reversal of 388784448 is 844487883.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 209438784 + 179345664 = 14472^2 + 13392^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 388784394 and 388784403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388784443) 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 27 ways as a sum of consecutive naturals, for example, 606208 + ... + 606848.

Almost surely, 2^388784448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388784448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623816634).

388784448 is an abundant number, since it is smaller than the sum of its proper divisors (858848820).

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

388784448 is an equidigital number, since it uses as much as digits as its factorization.

388784448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 659 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The square root of 388784448 is about 19717.6177060009. The cubic root of 388784448 is about 729.8545078159.

The spelling of 388784448 in words is "three hundred eighty-eight million, seven hundred eighty-four thousand, four hundred forty-eight".