428814509 has 2 divisors, whose sum is σ = 428814510. Its totient is φ = 428814508.

The previous prime is 428814487. The next prime is 428814527. The reversal of 428814509 is 905418824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384552100 + 44262409 = 19610^2 + 6653^2 .

It is a cyclic number.

It is not a de Polignac number, because 428814509 - 2¹⁶ = 428748973 is a prime.

It is a super-2 number, since 2×428814509² = 367763766257822162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (428814569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214407254 + 214407255.

It is an arithmetic number, because the mean of its divisors is an integer number (214407255).

Almost surely, 2^428814509 is an apocalyptic number.

It is an amenable number.

428814509 is a deficient number, since it is larger than the sum of its proper divisors (1).

428814509 is an equidigital number, since it uses as much as digits as its factorization.

428814509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 428814509 is about 20707.8368981408. The cubic root of 428814509 is about 754.0899574180.

The spelling of 428814509 in words is "four hundred twenty-eight million, eight hundred fourteen thousand, five hundred nine".