457344 has 48 divisors (see below), whose sum is σ = 1319370. Its totient is φ = 152064.

The previous prime is 457339. The next prime is 457363. The reversal of 457344 is 443754.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 97344 = 600^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 954 + ... + 1350.

2⁴⁵⁷³⁴⁴ 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 457344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659685).

457344 is an abundant number, since it is smaller than the sum of its proper divisors (862026).

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

457344 is a wasteful number, since it uses less digits than its factorization.

457344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 402 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 457344 is about 676.2721345731. The cubic root of 457344 is about 77.0455681253.

The spelling of 457344 in words is "four hundred fifty-seven thousand, three hundred forty-four".