467808 has 48 divisors (see below), whose sum is σ = 1342656. Its totient is φ = 141440.

The previous prime is 467783. The next prime is 467813. The reversal of 467808 is 808764.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (27972).

2⁴⁶⁷⁸⁰⁸ is an apocalyptic number.

467808 is a gapful number since it is divisible by the number (48) 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 467808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671328).

467808 is an abundant number, since it is smaller than the sum of its proper divisors (874848).

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

467808 is a wasteful number, since it uses less digits than its factorization.

467808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 467808 is about 683.9649113807. The cubic root of 467808 is about 77.6287419658.

It can be divided in two parts, 467 and 808, that added together give a triangular number (1275 = T₅₀).

The spelling of 467808 in words is "four hundred sixty-seven thousand, eight hundred eight".