455634 has 24 divisors (see below), whose sum is σ = 1045980. Its totient is φ = 142848.

The previous prime is 455627. The next prime is 455647. The reversal of 455634 is 436554.

455634 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 455625 + 9 = 675^2 + 3^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 455598 and 455607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439 + ... + 1050.

455634 is a Friedman number, since it can be written as 5+4+5^4*3^6, using all its digits and the basic arithmetic operations.

2⁴⁵⁵⁶³⁴ is an apocalyptic number.

455634 is an abundant number, since it is smaller than the sum of its proper divisors (590346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455634 is a wasteful number, since it uses less digits than its factorization.

455634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1511 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 455634 is about 675.0066666337. The cubic root of 455634 is about 76.9494242567.

It can be divided in two parts, 455 and 634, that added together give a square (1089 = 33²).

The spelling of 455634 in words is "four hundred fifty-five thousand, six hundred thirty-four".