468220 has 24 divisors (see below), whose sum is σ = 1009008. Its totient is φ = 182400.

The previous prime is 468199. The next prime is 468239. The reversal of 468220 is 22864.

468220 = T₃₀₁ + T₃₀₂ + ... + T₃₁₀.

It is a junction number, because it is equal to n+sod(n) for n = 468191 and 468200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535 + ... + 1105.

It is an arithmetic number, because the mean of its divisors is an integer number (42042).

2⁴⁶⁸²²⁰ 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 468220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504504).

468220 is an abundant number, since it is smaller than the sum of its proper divisors (540788).

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

468220 is a wasteful number, since it uses less digits than its factorization.

468220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 468220 is about 684.2660301374. The cubic root of 468220 is about 77.6515245726.

The spelling of 468220 in words is "four hundred sixty-eight thousand, two hundred twenty".