457314 has 48 divisors (see below), whose sum is σ = 1106784. Its totient is φ = 124800.

The previous prime is 457307. The next prime is 457319. The reversal of 457314 is 413754.

Its product of digits (1680) is a multiple of the sum of its prime divisors (70).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457314.

It is not an unprimeable number, because it can be changed into a prime (457319) 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 23 ways as a sum of consecutive naturals, for example, 11134 + ... + 11174.

It is an arithmetic number, because the mean of its divisors is an integer number (23058).

2⁴⁵⁷³¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553392).

457314 is an abundant number, since it is smaller than the sum of its proper divisors (649470).

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

457314 is a wasteful number, since it uses less digits than its factorization.

457314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 457314 is about 676.2499537893. The cubic root of 457314 is about 77.0438834579.

The spelling of 457314 in words is "four hundred fifty-seven thousand, three hundred fourteen".