411292 has 24 divisors (see below), whose sum is σ = 846944. Its totient is φ = 171072.

The previous prime is 411287. The next prime is 411311. The reversal of 411292 is 292114.

It is a super-2 number, since 2×411292² = 338322218528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

411292 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 7 ways as a sum of consecutive naturals, for example, 838 + ... + 1234.

2⁴¹¹²⁹² 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 411292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423472).

411292 is an abundant number, since it is smaller than the sum of its proper divisors (435652).

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

411292 is a wasteful number, since it uses less digits than its factorization.

411292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 411292 is about 641.3205126924. The cubic root of 411292 is about 74.3675408568.

It can be divided in two parts, 411 and 292, that added together give a triangular number (703 = T₃₇).

The spelling of 411292 in words is "four hundred eleven thousand, two hundred ninety-two".