457104 has 40 divisors (see below), whose sum is σ = 1205280. Its totient is φ = 149248.

The previous prime is 457099. The next prime is 457117. The reversal of 457104 is 401754.

It is an unprimeable number.

457104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4219 + ... + 4325.

It is an arithmetic number, because the mean of its divisors is an integer number (30132).

2⁴⁵⁷¹⁰⁴ 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 457104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602640).

457104 is an abundant number, since it is smaller than the sum of its proper divisors (748176).

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

457104 is a wasteful number, since it uses less digits than its factorization.

457104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 457104 is about 676.0946679275. The cubic root of 457104 is about 77.0320887226.

Adding to 457104 its reverse (401754), we get a palindrome (858858).

It can be divided in two parts, 457 and 104, that added together give a triangular number (561 = T₃₃).

The spelling of 457104 in words is "four hundred fifty-seven thousand, one hundred four".