457707 has 8 divisors (see below), whose sum is σ = 631440. Its totient is φ = 294560.

The previous prime is 457697. The next prime is 457711. The reversal of 457707 is 707754.

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 457707 - 2⁶ = 457643 is a prime.

457707 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (457757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2544 + ... + 2717.

It is an arithmetic number, because the mean of its divisors is an integer number (78930).

2⁴⁵⁷⁷⁰⁷ is an apocalyptic number.

457707 is a deficient number, since it is larger than the sum of its proper divisors (173733).

457707 is a wasteful number, since it uses less digits than its factorization.

457707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293.

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 457707 is about 676.5404644218. The cubic root of 457707 is about 77.0659467645.

Subtracting 457707 from its reverse (707754), we obtain a cube (250047 = 63³).

The spelling of 457707 in words is "four hundred fifty-seven thousand, seven hundred seven".