388644480 has 672 divisors, whose sum is σ = 1715769540. Its totient is φ = 83607552.

The previous prime is 388644469. The next prime is 388644499. The reversal of 388644480 is 84446883.

It can be written as a sum of positive squares in 2 ways, for example, as 386358336 + 2286144 = 19656^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (672).

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 (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22861432 + ... + 22861448.

Almost surely, 2^388644480 is an apocalyptic number.

388644480 is a gapful number since it is divisible by the number (30) 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 388644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857884770).

388644480 is an abundant number, since it is smaller than the sum of its proper divisors (1327125060).

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

388644480 is an equidigital number, since it uses as much as digits as its factorization.

388644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 388644480 is about 19714.0680733328. The cubic root of 388644480 is about 729.7669112586.

The spelling of 388644480 in words is "three hundred eighty-eight million, six hundred forty-four thousand, four hundred eighty".