467496 has 48 divisors (see below), whose sum is σ = 1304160. Its totient is φ = 151200.

The previous prime is 467491. The next prime is 467497. The reversal of 467496 is 694764.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 467496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467491) by changing a digit.

467496 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3021 + ... + 3171.

It is an arithmetic number, because the mean of its divisors is an integer number (27170).

2⁴⁶⁷⁴⁹⁶ 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 467496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652080).

467496 is an abundant number, since it is smaller than the sum of its proper divisors (836664).

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

467496 is a wasteful number, since it uses less digits than its factorization.

467496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 467496 is about 683.7367914629. The cubic root of 467496 is about 77.6114802160.

The spelling of 467496 in words is "four hundred sixty-seven thousand, four hundred ninety-six".