467920 has 20 divisors (see below), whose sum is σ = 1088100. Its totient is φ = 187136.

The previous prime is 467903. The next prime is 467927. The reversal of 467920 is 29764.

It can be written as a sum of positive squares in 2 ways, for example, as 163216 + 304704 = 404^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2845 + ... + 3004.

It is an arithmetic number, because the mean of its divisors is an integer number (54405).

2⁴⁶⁷⁹²⁰ is an apocalyptic number.

467920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

467920 is an abundant number, since it is smaller than the sum of its proper divisors (620180).

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

467920 is a wasteful number, since it uses less digits than its factorization.

467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 467920 is about 684.0467820259. The cubic root of 467920 is about 77.6349366193.

The spelling of 467920 in words is "four hundred sixty-seven thousand, nine hundred twenty".