467536 has 10 divisors (see below), whose sum is σ = 905882. Its totient is φ = 233760.

The previous prime is 467531. The next prime is 467543. The reversal of 467536 is 635764.

467536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 270400 + 197136 = 520^2 + 444^2 .

It is a super-2 number, since 2×467536² = 437179822592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 467498 and 467507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467531) by changing a digit.

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 as a sum of consecutive naturals, namely, 14595 + ... + 14626.

2⁴⁶⁷⁵³⁶ is an apocalyptic number.

It is an amenable number.

467536 is a deficient number, since it is larger than the sum of its proper divisors (438346).

467536 is a wasteful number, since it uses less digits than its factorization.

467536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29229 (or 29223 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The square root of 467536 is about 683.7660418593. The cubic root of 467536 is about 77.6136936900.

The spelling of 467536 in words is "four hundred sixty-seven thousand, five hundred thirty-six".