457407 has 10 divisors (see below), whose sum is σ = 683408. Its totient is φ = 304884.

The previous prime is 457403. The next prime is 457411. The reversal of 457407 is 704754.

It is an interprime number because it is at equal distance from previous prime (457403) and next prime (457411).

It is not a de Polignac number, because 457407 - 2² = 457403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 9.

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 polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2743 + ... + 2904.

2⁴⁵⁷⁴⁰⁷ is an apocalyptic number.

457407 is a deficient number, since it is larger than the sum of its proper divisors (226001).

457407 is an equidigital number, since it uses as much as digits as its factorization.

457407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 457407 is about 676.3187118512. The cubic root of 457407 is about 77.0491056870.

The spelling of 457407 in words is "four hundred fifty-seven thousand, four hundred seven".