413388 has 18 divisors (see below), whose sum is σ = 1045044. Its totient is φ = 137784.

The previous prime is 413353. The next prime is 413411. The reversal of 413388 is 883314.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an unprimeable number.

413388 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 5 ways as a sum of consecutive naturals, for example, 5706 + ... + 5777.

It is an arithmetic number, because the mean of its divisors is an integer number (58058).

2⁴¹³³⁸⁸ is an apocalyptic number.

It is an amenable number.

413388 is an abundant number, since it is smaller than the sum of its proper divisors (631656).

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

413388 is a wasteful number, since it uses less digits than its factorization.

413388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11493 (or 11488 counting only the distinct ones).

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

The square root of 413388 is about 642.9525643467. The cubic root of 413388 is about 74.4936559017.

The spelling of 413388 in words is "four hundred thirteen thousand, three hundred eighty-eight".