467364 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 139776.

The previous prime is 467353. The next prime is 467371. The reversal of 467364 is 463764.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 467364.

It is an unprimeable number.

467364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5877 + ... + 5955.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁴⁶⁷³⁶⁴ 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 467364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

467364 is an abundant number, since it is smaller than the sum of its proper divisors (742236).

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

467364 is a wasteful number, since it uses less digits than its factorization.

467364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 467364 is about 683.6402562752. The cubic root of 467364 is about 77.6041748560.

Subtracting from 467364 its reverse (463764), we obtain a square (3600 = 60²).

The spelling of 467364 in words is "four hundred sixty-seven thousand, three hundred sixty-four".