457436 has 36 divisors (see below), whose sum is σ = 1000944. Its totient is φ = 178560.

The previous prime is 457433. The next prime is 457459. The reversal of 457436 is 634754.

457436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (10080) is a multiple of the sum of its prime factors (90).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 457399 and 457408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14741 + ... + 14771.

It is an arithmetic number, because the mean of its divisors is an integer number (27804).

2⁴⁵⁷⁴³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500472).

457436 is an abundant number, since it is smaller than the sum of its proper divisors (543508).

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

457436 is a wasteful number, since it uses less digits than its factorization.

457436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 457436 is about 676.3401511074. The cubic root of 457436 is about 77.0507339793.

The spelling of 457436 in words is "four hundred fifty-seven thousand, four hundred thirty-six".