457007 has 8 divisors (see below), whose sum is σ = 489600. Its totient is φ = 425304.

The previous prime is 457003. The next prime is 457013. The reversal of 457007 is 700754.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 457007 - 2² = 457003 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457007.

It is not an unprimeable number, because it can be changed into a prime (457001) 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, 1094 + ... + 1452.

It is an arithmetic number, because the mean of its divisors is an integer number (61200).

2⁴⁵⁷⁰⁰⁷ is an apocalyptic number.

457007 is a deficient number, since it is larger than the sum of its proper divisors (32593).

457007 is a wasteful number, since it uses less digits than its factorization.

457007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445.

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 457007 is about 676.0229286052. The cubic root of 457007 is about 77.0266394586.

The spelling of 457007 in words is "four hundred fifty-seven thousand, seven".