428459337 has 6 divisors (see below), whose sum is σ = 618885722. Its totient is φ = 285639552.

The previous prime is 428459323. The next prime is 428459377. The reversal of 428459337 is 733954824.

428459337 is a `hidden beast` number, since 4 + 28 + 4 + 593 + 37 = 666.

It can be written as a sum of positive squares in only one way, i.e., 427496976 + 962361 = 20676^2 + 981^2 .

It is not a de Polignac number, because 428459337 - 2⁷ = 428459209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 428459292 and 428459301.

It is not an unprimeable number, because it can be changed into a prime (428459377) 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 5 ways as a sum of consecutive naturals, for example, 23803288 + ... + 23803305.

Almost surely, 2^428459337 is an apocalyptic number.

It is an amenable number.

428459337 is a deficient number, since it is larger than the sum of its proper divisors (190426385).

428459337 is a wasteful number, since it uses less digits than its factorization.

428459337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47606599 (or 47606596 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 428459337 is about 20699.2593345752. The cubic root of 428459337 is about 753.8817045006.

The spelling of 428459337 in words is "four hundred twenty-eight million, four hundred fifty-nine thousand, three hundred thirty-seven".