455630 has 32 divisors (see below), whose sum is σ = 981504. Its totient is φ = 148896.

The previous prime is 455627. The next prime is 455647. The reversal of 455630 is 36554.

455630 = 336² + 337² + ... + 339².

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 455596 and 455605.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1469 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (30672).

455630 is a Friedman number, since it can be written as 5+5^4*(3+0)^6, using all its digits and the basic arithmetic operations.

2⁴⁵⁵⁶³⁰ is an apocalyptic number.

455630 is an abundant number, since it is smaller than the sum of its proper divisors (525874).

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

455630 is a wasteful number, since it uses less digits than its factorization.

455630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 455630 is about 675.0037036935. The cubic root of 455630 is about 76.9491990769.

The spelling of 455630 in words is "four hundred fifty-five thousand, six hundred thirty".