460096 has 56 divisors (see below), whose sum is σ = 1137920. Its totient is φ = 179712.

The previous prime is 460091. The next prime is 460099. The reversal of 460096 is 690064.

460096 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 460096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460091) 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, 5785 + ... + 5863.

It is an arithmetic number, because the mean of its divisors is an integer number (20320).

2⁴⁶⁰⁰⁹⁶ 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 460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568960).

460096 is an abundant number, since it is smaller than the sum of its proper divisors (677824).

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

460096 is a wasteful number, since it uses less digits than its factorization.

460096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 460096 is about 678.3037667594. The cubic root of 460096 is about 77.1997959671.

The spelling of 460096 in words is "four hundred sixty thousand, ninety-six".