413838 has 24 divisors (see below), whose sum is σ = 910728. Its totient is φ = 135792.

The previous prime is 413827. The next prime is 413849. The reversal of 413838 is 838314.

It is an interprime number because it is at equal distance from previous prime (413827) and next prime (413849).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356 + ... + 1632.

It is an arithmetic number, because the mean of its divisors is an integer number (37947).

2⁴¹³⁸³⁸ is an apocalyptic number.

413838 is an abundant number, since it is smaller than the sum of its proper divisors (496890).

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

413838 is a wasteful number, since it uses less digits than its factorization.

413838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 365 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 413838 is about 643.3024172191. The cubic root of 413838 is about 74.5206765125.

The spelling of 413838 in words is "four hundred thirteen thousand, eight hundred thirty-eight".