467820 has 72 divisors (see below), whose sum is σ = 1493856. Its totient is φ = 118272.

The previous prime is 467813. The next prime is 467827. The reversal of 467820 is 28764.

467820 = T₁₁₉ + T₁₂₀ + ... + T₁₆₄.

It is an interprime number because it is at equal distance from previous prime (467813) and next prime (467827).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 467820.

It is not an unprimeable number, because it can be changed into a prime (467827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4084 + ... + 4196.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2⁴⁶⁷⁸²⁰ 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 467820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928).

467820 is an abundant number, since it is smaller than the sum of its proper divisors (1026036).

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

467820 is a wasteful number, since it uses less digits than its factorization.

467820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 467820 is about 683.9736837043. The cubic root of 467820 is about 77.6294057260.

The spelling of 467820 in words is "four hundred sixty-seven thousand, eight hundred twenty".