462220 has 36 divisors (see below), whose sum is σ = 1072512. Its totient is φ = 167200.

The previous prime is 462199. The next prime is 462221. The reversal of 462220 is 22264.

462220 = T₃₁ + T₃₂ + ... + T₁₄₀.

It is a junction number, because it is equal to n+sod(n) for n = 462194 and 462203.

It is not an unprimeable number, because it can be changed into a prime (462221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2325 + ... + 2515.

It is an arithmetic number, because the mean of its divisors is an integer number (29792).

2⁴⁶²²²⁰ 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 462220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536256).

462220 is an abundant number, since it is smaller than the sum of its proper divisors (610292).

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

462220 is a wasteful number, since it uses less digits than its factorization.

462220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 462220 is about 679.8676341759. The cubic root of 462220 is about 77.3184093939.

Adding to 462220 its reverse (22264), we get a palindrome (484484).

The spelling of 462220 in words is "four hundred sixty-two thousand, two hundred twenty".