457384 has 8 divisors (see below), whose sum is σ = 857610. Its totient is φ = 228688.

The previous prime is 457381. The next prime is 457393. The reversal of 457384 is 483754.

457384 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 only one way, i.e., 272484 + 184900 = 522^2 + 430^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (457381) 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 as a sum of consecutive naturals, namely, 28579 + ... + 28594.

2⁴⁵⁷³⁸⁴ is an apocalyptic number.

It is an amenable number.

457384 is a deficient number, since it is larger than the sum of its proper divisors (400226).

457384 is a wasteful number, since it uses less digits than its factorization.

457384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57179 (or 57175 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 457384 is about 676.3017078198. The cubic root of 457384 is about 77.0478142339.

It can be divided in two parts, 457 and 384, that added together give a square (841 = 29²).

The spelling of 457384 in words is "four hundred fifty-seven thousand, three hundred eighty-four".