412830 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 99360.

The previous prime is 412807. The next prime is 412831. The reversal of 412830 is 38214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412831) by changing a digit.

412830 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 31 ways as a sum of consecutive naturals, for example, 2901 + ... + 3039.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁴¹²⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

412830 is an abundant number, since it is smaller than the sum of its proper divisors (796770).

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

412830 is a wasteful number, since it uses less digits than its factorization.

412830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412830 is about 642.5184822244. The cubic root of 412830 is about 74.4601230972.

The spelling of 412830 in words is "four hundred twelve thousand, eight hundred thirty".