457404 has 24 divisors (see below), whose sum is σ = 1091328. Its totient is φ = 149040.

The previous prime is 457403. The next prime is 457411. The reversal of 457404 is 404754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 969.

It is an arithmetic number, because the mean of its divisors is an integer number (45472).

2⁴⁵⁷⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

457404 is an abundant number, since it is smaller than the sum of its proper divisors (633924).

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

457404 is a wasteful number, since it uses less digits than its factorization.

457404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 457404 is about 676.3164939583. The cubic root of 457404 is about 77.0489372391.

Subtracting from 457404 its reverse (404754), we obtain a triangular number (52650 = T₃₂₄).

It can be divided in two parts, 457 and 404, that added together give a triangular number (861 = T₄₁).

The spelling of 457404 in words is "four hundred fifty-seven thousand, four hundred four".