387328420 has 48 divisors (see below), whose sum is σ = 823315248. Its totient is φ = 153054720.

The previous prime is 387328397. The next prime is 387328421. The reversal of 387328420 is 24823783.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25644096 + 361684324 = 5064^2 + 19018^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 387328420.

It is not an unprimeable number, because it can be changed into a prime (387328421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 919810 + ... + 920230.

It is an arithmetic number, because the mean of its divisors is an integer number (17152401).

Almost surely, 2^387328420 is an apocalyptic number.

It is an amenable number.

387328420 is an abundant number, since it is smaller than the sum of its proper divisors (435986828).

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

387328420 is a wasteful number, since it uses less digits than its factorization.

387328420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 387328420 is about 19680.6610661329. The cubic root of 387328420 is about 728.9422474027.

The spelling of 387328420 in words is "three hundred eighty-seven million, three hundred twenty-eight thousand, four hundred twenty".