455624 has 24 divisors (see below), whose sum is σ = 927810. Its totient is φ = 209664.

The previous prime is 455603. The next prime is 455627. The reversal of 455624 is 426554.

It is a Cunningham number, because it is equal to 675²-1.

It can be written as a sum of positive squares in 3 ways, for example, as 174724 + 280900 = 418^2 + 530^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 455593 and 455602.

It is a congruent number.

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

455624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1184 + ... + 1520.

2⁴⁵⁵⁶²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463905).

455624 is an abundant number, since it is smaller than the sum of its proper divisors (472186).

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

455624 is a wasteful number, since it uses less digits than its factorization.

455624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 352 counting only the distinct ones).

The product of its digits is 4800, while the sum is 26.

The square root of 455624 is about 674.9992592589. Note that the first 3 decimals coincide. The cubic root of 455624 is about 76.9488613049.

The spelling of 455624 in words is "four hundred fifty-five thousand, six hundred twenty-four".