419728 has 20 divisors (see below), whose sum is σ = 836380. Its totient is φ = 203904.

The previous prime is 419711. The next prime is 419743. The reversal of 419728 is 827914.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 200704 = 468^2 + 448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 419728.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 946.

It is an arithmetic number, because the mean of its divisors is an integer number (41819).

2⁴¹⁹⁷²⁸ is an apocalyptic number.

It is an amenable number.

419728 is a deficient number, since it is larger than the sum of its proper divisors (416652).

419728 is a wasteful number, since it uses less digits than its factorization.

419728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 419728 is about 647.8641832977. The cubic root of 419728 is about 74.8725539264.

It can be divided in two parts, 4197 and 28, that added together give a square (4225 = 65²).

The spelling of 419728 in words is "four hundred nineteen thousand, seven hundred twenty-eight".