467264 has 42 divisors (see below), whose sum is σ = 1085850. Its totient is φ = 198912.

The previous prime is 467261. The next prime is 467293. The reversal of 467264 is 462764.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 153664 = 560^2 + 392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3062 + ... + 3210.

2⁴⁶⁷²⁶⁴ 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 467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542925).

467264 is an abundant number, since it is smaller than the sum of its proper divisors (618586).

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

467264 is a wasteful number, since it uses less digits than its factorization.

467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 467264 is about 683.5671144811. The cubic root of 467264 is about 77.5986395765.

The spelling of 467264 in words is "four hundred sixty-seven thousand, two hundred sixty-four".