459696 has 40 divisors (see below), whose sum is σ = 1214704. Its totient is φ = 149760.

The previous prime is 459691. The next prime is 459703. The reversal of 459696 is 696954.

459696 = T₉₁ + T₉₂ + ... + T₁₅₁.

459696 = 104² + 105² + ... + 135².

459696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459696² = 422640824832, which contains 22 as substring.

459696 is an undulating number in base 13.

It is not an unprimeable number, because it can be changed into a prime (459691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2850 + ... + 3006.

2⁴⁵⁹⁶⁹⁶ 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 459696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607352).

459696 is an abundant number, since it is smaller than the sum of its proper divisors (755008).

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

459696 is a wasteful number, since it uses less digits than its factorization.

459696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 459696 is about 678.0088494998. The cubic root of 459696 is about 77.1774173972.

The spelling of 459696 in words is "four hundred fifty-nine thousand, six hundred ninety-six".