467120 has 20 divisors (see below), whose sum is σ = 1086240. Its totient is φ = 186816.

The previous prime is 467119. The next prime is 467123. The reversal of 467120 is 21764.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 467092 and 467101.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 467120.

It is not an unprimeable number, because it can be changed into a prime (467123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2840 + ... + 2999.

It is an arithmetic number, because the mean of its divisors is an integer number (54312).

2⁴⁶⁷¹²⁰ is an apocalyptic number.

467120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

467120 is an abundant number, since it is smaller than the sum of its proper divisors (619120).

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

467120 is a wasteful number, since it uses less digits than its factorization.

467120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 467120 is about 683.4617765464. The cubic root of 467120 is about 77.5906673865.

Adding to 467120 its reverse (21764), we get a palindrome (488884).

The spelling of 467120 in words is "four hundred sixty-seven thousand, one hundred twenty".