457812 has 42 divisors (see below), whose sum is σ = 1208858. Its totient is φ = 151632.

The previous prime is 457799. The next prime is 457813. The reversal of 457812 is 218754.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 104976 = 594^2 + 324^2 .

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 (457813) by changing a digit.

457812 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 13 ways as a sum of consecutive naturals, for example, 2838 + ... + 2994.

2⁴⁵⁷⁸¹² 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 457812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604429).

457812 is an abundant number, since it is smaller than the sum of its proper divisors (751046).

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

457812 is a wasteful number, since it uses less digits than its factorization.

457812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 457812 is about 676.6180606517. The cubic root of 457812 is about 77.0718394030.

The spelling of 457812 in words is "four hundred fifty-seven thousand, eight hundred twelve".