428413 has 4 divisors (see below), whose sum is σ = 430848. Its totient is φ = 425980.

The previous prime is 428411. The next prime is 428429. The reversal of 428413 is 314824.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 428413 - 2¹ = 428411 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

428413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428411) 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 3 ways as a sum of consecutive naturals, for example, 931 + ... + 1312.

It is an arithmetic number, because the mean of its divisors is an integer number (107712).

2⁴²⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

428413 is a deficient number, since it is larger than the sum of its proper divisors (2435).

428413 is a wasteful number, since it uses less digits than its factorization.

428413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434.

The product of its digits is 768, while the sum is 22.

The square root of 428413 is about 654.5326577032. The cubic root of 428413 is about 75.3854526600.

It can be divided in two parts, 428 and 413, that added together give a square (841 = 29²).

The spelling of 428413 in words is "four hundred twenty-eight thousand, four hundred thirteen".