455625 has 35 divisors (see below), whose sum is σ = 853633. Its totient is φ = 243000.

The previous prime is 455603. The next prime is 455627. The reversal of 455625 is 526554.

The square root of 455625 is 675.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 419904 = 189^2 + 648^2 .

It is not a de Polignac number, because 455625 - 2¹⁵ = 422857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

Its product of digits (6000) is a multiple of the sum of its prime divisors (8).

It is a nialpdrome in base 9 and base 15.

It is not an unprimeable number, because it can be changed into a prime (455627) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 91123 + ... + 91127.

455625 is a Friedman number, since it can be written as 45^(6-5+2)*5, using all its digits and the basic arithmetic operations.

2⁴⁵⁵⁶²⁵ is an apocalyptic number.

455625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

455625 is the 675-th square number.

455625 is the 338-th centered octagonal number.

It is an amenable number.

455625 is a deficient number, since it is larger than the sum of its proper divisors (398008).

455625 is an frugal number, since it uses more digits than its factorization.

455625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 8 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The cubic root of 455625 is about 76.9489176005.

The spelling of 455625 in words is "four hundred fifty-five thousand, six hundred twenty-five".