424305 has 32 divisors (see below), whose sum is σ = 864000. Its totient is φ = 193536.

The previous prime is 424273. The next prime is 424313. The reversal of 424305 is 503424.

It is a happy number.

It is not a de Polignac number, because 424305 - 2⁵ = 424273 is a prime.

It is an Ulam number.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 721 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2⁴²⁴³⁰⁵ is an apocalyptic number.

424305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

424305 is an abundant number, since it is smaller than the sum of its proper divisors (439695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424305 is a wasteful number, since it uses less digits than its factorization.

424305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 424305 is about 651.3869817551. The cubic root of 424305 is about 75.1437244014.

Adding to 424305 its reverse (503424), we get a palindrome (927729).

It can be divided in two parts, 424 and 305, that added together give a 6-th power (729 = 3⁶).

The spelling of 424305 in words is "four hundred twenty-four thousand, three hundred five".