467680 has 48 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 179712.

The previous prime is 467671. The next prime is 467681. The reversal of 467680 is 86764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467681) 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, 5881 + ... + 5959.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁴⁶⁷⁶⁸⁰ is an apocalyptic number.

467680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

467680 is an abundant number, since it is smaller than the sum of its proper divisors (681440).

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

467680 is a wasteful number, since it uses less digits than its factorization.

467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 467680 is about 683.8713329275. The cubic root of 467680 is about 77.6216611510.

The spelling of 467680 in words is "four hundred sixty-seven thousand, six hundred eighty".