457364 has 12 divisors (see below), whose sum is σ = 808500. Its totient is φ = 226368.

The previous prime is 457363. The next prime is 457367. The reversal of 457364 is 463754.

457364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 372100 + 85264 = 610^2 + 292^2 .

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 457364.

It is not an unprimeable number, because it can be changed into a prime (457363) 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 3 ways as a sum of consecutive naturals, for example, 89 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (67375).

2⁴⁵⁷³⁶⁴ is an apocalyptic number.

It is an amenable number.

457364 is a deficient number, since it is larger than the sum of its proper divisors (351136).

457364 is a wasteful number, since it uses less digits than its factorization.

457364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1160 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 457364 is about 676.2869213581. The cubic root of 457364 is about 77.0466911960.

The spelling of 457364 in words is "four hundred fifty-seven thousand, three hundred sixty-four".