456725 has 6 divisors (see below), whose sum is σ = 566370. Its totient is φ = 365360.

The previous prime is 456697. The next prime is 456727. The reversal of 456725 is 527654.

It can be written as a sum of positive squares in 3 ways, for example, as 58564 + 398161 = 242^2 + 631^2 .

It is not a de Polignac number, because 456725 - 2¹⁰ = 455701 is a prime.

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 (456727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9110 + ... + 9159.

It is an arithmetic number, because the mean of its divisors is an integer number (94395).

2⁴⁵⁶⁷²⁵ is an apocalyptic number.

It is an amenable number.

456725 is a deficient number, since it is larger than the sum of its proper divisors (109645).

456725 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 456725 = (765452)₉.

456725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18279 (or 18274 counting only the distinct ones).

The product of its digits is 8400, while the sum is 29.

The square root of 456725 is about 675.8143236126. The cubic root of 456725 is about 77.0107928875.

The spelling of 456725 in words is "four hundred fifty-six thousand, seven hundred twenty-five".