413792 has 24 divisors (see below), whose sum is σ = 831096. Its totient is φ = 202752.

The previous prime is 413783. The next prime is 413807. The reversal of 413792 is 297314.

413792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2048 + ... + 2240.

It is an arithmetic number, because the mean of its divisors is an integer number (34629).

2⁴¹³⁷⁹² is an apocalyptic number.

It is an amenable number.

413792 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

413792 is a wasteful number, since it uses less digits than its factorization.

413792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 413792 is about 643.2666632121. The cubic root of 413792 is about 74.5179153047.

The spelling of 413792 in words is "four hundred thirteen thousand, seven hundred ninety-two".