456925 has 18 divisors (see below), whose sum is σ = 660858. Its totient is φ = 312480.

The previous prime is 456923. The next prime is 456949. The reversal of 456925 is 529654.

456925 = 70² + 71² + ... + 119².

It can be written as a sum of positive squares in 3 ways, for example, as 33124 + 423801 = 182^2 + 651^2 .

It is not a de Polignac number, because 456925 - 2¹ = 456923 is a prime.

It is a d-powerful number, because it can be written as 4 + 5² + 9³ + 6 + 2¹⁶ + 5⁸ .

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

It is a Duffinian number.

456925 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456923) 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 17 ways as a sum of consecutive naturals, for example, 1039 + ... + 1411.

2⁴⁵⁶⁹²⁵ is an apocalyptic number.

It is an amenable number.

456925 is a deficient number, since it is larger than the sum of its proper divisors (203933).

456925 is a wasteful number, since it uses less digits than its factorization.

456925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 456925 is about 675.9622770540. The cubic root of 456925 is about 77.0220322627.

The spelling of 456925 in words is "four hundred fifty-six thousand, nine hundred twenty-five".