457368 has 64 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 133632.

The previous prime is 457367. The next prime is 457381. The reversal of 457368 is 863754.

457368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7723 + ... + 7781.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2⁴⁵⁷³⁶⁸ 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 457368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

457368 is an abundant number, since it is smaller than the sum of its proper divisors (838632).

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

457368 is a wasteful number, since it uses less digits than its factorization.

457368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 457368 is about 676.2898786763. The cubic root of 457368 is about 77.0469158062.

The spelling of 457368 in words is "four hundred fifty-seven thousand, three hundred sixty-eight".