457542 has 32 divisors (see below), whose sum is σ = 1048800. Its totient is φ = 147744.

The previous prime is 457517. The next prime is 457547. The reversal of 457542 is 245754.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1884 + ... + 2112.

It is an arithmetic number, because the mean of its divisors is an integer number (32775).

2⁴⁵⁷⁵⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524400).

457542 is an abundant number, since it is smaller than the sum of its proper divisors (591258).

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

457542 is a wasteful number, since it uses less digits than its factorization.

457542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 457542 is about 676.4185095043. The cubic root of 457542 is about 77.0566850829.

It can be divided in two parts, 457 and 542, that added together give a palindrome (999).

The spelling of 457542 in words is "four hundred fifty-seven thousand, five hundred forty-two".