428427 has 12 divisors (see below), whose sum is σ = 624624. Its totient is φ = 282960.

The previous prime is 428411. The next prime is 428429. The reversal of 428427 is 724824.

428427 = T₉₈ + T₉₉ + ... + T₁₅₁.

It is not a de Polignac number, because 428427 - 2⁴ = 428411 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 428427.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428427.

It is not an unprimeable number, because it can be changed into a prime (428429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1498 + ... + 1760.

It is an arithmetic number, because the mean of its divisors is an integer number (52052).

2⁴²⁸⁴²⁷ is an apocalyptic number.

428427 is a deficient number, since it is larger than the sum of its proper divisors (196197).

428427 is a wasteful number, since it uses less digits than its factorization.

428427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 428427 is about 654.5433522694. The cubic root of 428427 is about 75.3862738184.

It can be divided in two parts, 42842 and 7, that added together give a square (42849 = 207²).

The spelling of 428427 in words is "four hundred twenty-eight thousand, four hundred twenty-seven".