456701 has 8 divisors (see below), whose sum is σ = 532224. Its totient is φ = 383760.

The previous prime is 456697. The next prime is 456727. The reversal of 456701 is 107654.

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 456701 - 2² = 456697 is a prime.

It is a super-3 number, since 3×456701³ = 285770333967120303, which contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456791) 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, 245 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (66528).

2⁴⁵⁶⁷⁰¹ is an apocalyptic number.

It is an amenable number.

456701 is a deficient number, since it is larger than the sum of its proper divisors (75523).

456701 is a wasteful number, since it uses less digits than its factorization.

456701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 456701 is about 675.7965670229. The cubic root of 456701 is about 77.0094439420.

The spelling of 456701 in words is "four hundred fifty-six thousand, seven hundred one".