It is a Jordan-Polya number, since it can be written as (4!)3 ⋅ (3!)2.
497664 is nontrivially palindromic in base 15.
It is a tau number, because it is divible by the number of its divisors (72).
It is a plaindrome in base 13.
It is a nialpdrome in base 12.
It is a zygodrome in base 2.
It is a congruent number.
497664 is a Friedman number, since it can be written as (9*(4+4))^6/6^7, using all its digits and the basic arithmetic operations.
2497664 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 497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745290).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
497664 is an frugal number, since it uses more digits than its factorization.
497664 is an evil number, because the sum of its binary digits is even.
The square root of 497664 is about 705.4530459216. The cubic root of 497664 is about 79.2462539735.
497664 divided by its sum of digits (36) gives a cube (13824 = 243).
The spelling of 497664 in words is "four hundred ninety-seven thousand, six hundred sixty-four".