413864 has 16 divisors (see below), whose sum is σ = 846720. Its totient is φ = 188080.

The previous prime is 413863. The next prime is 413867. The reversal of 413864 is 468314.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (413863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2264 + ... + 2439.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁴¹³⁸⁶⁴ is an apocalyptic number.

413864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413864 is an abundant number, since it is smaller than the sum of its proper divisors (432856).

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

413864 is a wasteful number, since it uses less digits than its factorization.

413864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4716 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 413864 is about 643.3226251268. The cubic root of 413864 is about 74.5222371047.

The spelling of 413864 in words is "four hundred thirteen thousand, eight hundred sixty-four".