457424 has 40 divisors (see below), whose sum is σ = 1017792. Its totient is φ = 197120.

The previous prime is 457421. The next prime is 457433. The reversal of 457424 is 424754.

It is a junction number, because it is equal to n+sod(n) for n = 457393 and 457402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457421) 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, 3992 + ... + 4104.

2⁴⁵⁷⁴²⁴ is an apocalyptic number.

457424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896).

457424 is an abundant number, since it is smaller than the sum of its proper divisors (560368).

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

457424 is a wasteful number, since it uses less digits than its factorization.

457424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its digits is 4480, while the sum is 26.

The square root of 457424 is about 676.3312797735. The cubic root of 457424 is about 77.0500602115.

The spelling of 457424 in words is "four hundred fifty-seven thousand, four hundred twenty-four".