428407 has 8 divisors (see below), whose sum is σ = 500000. Its totient is φ = 366912.

The previous prime is 428401. The next prime is 428411. The reversal of 428407 is 704824.

It is a de Polignac number, because none of the positive numbers 2^k-428407 is a prime.

It is a Duffinian number.

428407 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (62500).

2⁴²⁸⁴⁰⁷ is an apocalyptic number.

428407 is a deficient number, since it is larger than the sum of its proper divisors (71593).

428407 is an equidigital number, since it uses as much as digits as its factorization.

428407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 428407 is about 654.5280742642. The cubic root of 428407 is about 75.3851007295.

The spelling of 428407 in words is "four hundred twenty-eight thousand, four hundred seven".