457006 has 8 divisors (see below), whose sum is σ = 747864. Its totient is φ = 207720.

The previous prime is 457003. The next prime is 457013. The reversal of 457006 is 600754.

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

It is a Harshad number since it is a multiple of its sum of digits (22), and also a Moran number because the ratio is a prime number: 20773 = 457006 / (4 + 5 + 7 + 0 + 0 + 6).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10365 + ... + 10408.

It is an arithmetic number, because the mean of its divisors is an integer number (93483).

2⁴⁵⁷⁰⁰⁶ is an apocalyptic number.

457006 is a deficient number, since it is larger than the sum of its proper divisors (290858).

457006 is a wasteful number, since it uses less digits than its factorization.

457006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20786.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 457006 is about 676.0221889849. The cubic root of 457006 is about 77.0265832766.

The spelling of 457006 in words is "four hundred fifty-seven thousand, six".