457912 has 64 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 165888.

The previous prime is 457903. The next prime is 457913. The reversal of 457912 is 219754.

It is a happy number.

457912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457913) 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, 12358 + ... + 12394.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2⁴⁵⁷⁹¹² 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 457912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

457912 is an abundant number, since it is smaller than the sum of its proper divisors (691208).

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

457912 is a wasteful number, since it uses less digits than its factorization.

457912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 457912 is about 676.6919535505. The cubic root of 457912 is about 77.0774506021.

It can be divided in two parts, 457 and 912, that added together give a square (1369 = 37²).

The spelling of 457912 in words is "four hundred fifty-seven thousand, nine hundred twelve".