428379257 has 8 divisors (see below), whose sum is σ = 438731496. Its totient is φ = 418148352.

The previous prime is 428379251. The next prime is 428379269. The reversal of 428379257 is 752973824.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 164121721 + 264257536 = 12811^2 + 16256^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 428379257 - 2⁴ = 428379241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428379251) 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 7 ways as a sum of consecutive naturals, for example, 23168 + ... + 37329.

It is an arithmetic number, because the mean of its divisors is an integer number (54841437).

Almost surely, 2^428379257 is an apocalyptic number.

It is an amenable number.

428379257 is a deficient number, since it is larger than the sum of its proper divisors (10352239).

428379257 is an equidigital number, since it uses as much as digits as its factorization.

428379257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60667.

The product of its digits is 846720, while the sum is 47.

The square root of 428379257 is about 20697.3248754519. The cubic root of 428379257 is about 753.8347341869.

The spelling of 428379257 in words is "four hundred twenty-eight million, three hundred seventy-nine thousand, two hundred fifty-seven".