440657 has 18 divisors (see below), whose sum is σ = 567378. Its totient is φ = 340032.

The previous prime is 440653. The next prime is 440669. The reversal of 440657 is 756044.

It can be written as a sum of positive squares in only one way, i.e., 414736 + 25921 = 644^2 + 161^2 .

It is not a de Polignac number, because 440657 - 2² = 440653 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (440651) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19148 + ... + 19170.

It is an arithmetic number, because the mean of its divisors is an integer number (31521).

2⁴⁴⁰⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

440657 is a deficient number, since it is larger than the sum of its proper divisors (126721).

440657 is a wasteful number, since it uses less digits than its factorization.

440657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 440657 is about 663.8200057244. The cubic root of 440657 is about 76.0968870517.

The spelling of 440657 in words is "four hundred forty thousand, six hundred fifty-seven".