413192 has 32 divisors (see below), whose sum is σ = 869400. Its totient is φ = 182784.

The previous prime is 413183. The next prime is 413197. The reversal of 413192 is 291314.

413192 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 306916 + 106276 = 554^2 + 326^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (413197) by changing a digit.

413192 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2948 + ... + 3084.

2⁴¹³¹⁹² 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 413192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434700).

413192 is an abundant number, since it is smaller than the sum of its proper divisors (456208).

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

413192 is a wasteful number, since it uses less digits than its factorization.

413192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 413192 is about 642.8001244555. The cubic root of 413192 is about 74.4818807939.

The spelling of 413192 in words is "four hundred thirteen thousand, one hundred ninety-two".