413392 has 20 divisors (see below), whose sum is σ = 915616. Its totient is φ = 177120.

The previous prime is 413353. The next prime is 413411. The reversal of 413392 is 293314.

It is a d-powerful number, because it can be written as 4² + 1 + 3¹¹ + 3¹¹ + 9⁵ + 2⁵ .

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1734 + ... + 1957.

2⁴¹³³⁹² is an apocalyptic number.

It is an amenable number.

413392 is an abundant number, since it is smaller than the sum of its proper divisors (502224).

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

413392 is a wasteful number, since it uses less digits than its factorization.

413392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3700 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 413392 is about 642.9556749886. The cubic root of 413392 is about 74.4938961712.

It can be divided in two parts, 4133 and 92, that added together give a square (4225 = 65²).

The spelling of 413392 in words is "four hundred thirteen thousand, three hundred ninety-two".