413888 has 28 divisors (see below), whose sum is σ = 853440. Its totient is φ = 198912.

The previous prime is 413887. The next prime is 413911. The reversal of 413888 is 888314.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413888.

It is not an unprimeable number, because it can be changed into a prime (413887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1745 + ... + 1967.

It is an arithmetic number, because the mean of its divisors is an integer number (30480).

2⁴¹³⁸⁸⁸ 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 413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426720).

413888 is an abundant number, since it is smaller than the sum of its proper divisors (439552).

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

413888 is a wasteful number, since it uses less digits than its factorization.

413888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 413888 is about 643.3412780166. The cubic root of 413888 is about 74.5236775933.

The spelling of 413888 in words is "four hundred thirteen thousand, eight hundred eighty-eight".