412820 has 12 divisors (see below), whose sum is σ = 866964. Its totient is φ = 165120.

The previous prime is 412807. The next prime is 412831. The reversal of 412820 is 28214.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 309136 = 322^2 + 556^2 .

It is a super-3 number, since 3×412820³ = 211058789633304000, which contains 333 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412820.

It is an unprimeable number.

412820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10301 + ... + 10340.

It is an arithmetic number, because the mean of its divisors is an integer number (72247).

2⁴¹²⁸²⁰ is an apocalyptic number.

It is an amenable number.

412820 is an abundant number, since it is smaller than the sum of its proper divisors (454144).

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

412820 is a wasteful number, since it uses less digits than its factorization.

412820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20650 (or 20648 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 412820 is about 642.5107003000. The cubic root of 412820 is about 74.4595218754.

The spelling of 412820 in words is "four hundred twelve thousand, eight hundred twenty".