413744 has 20 divisors (see below), whose sum is σ = 844440. Its totient is φ = 195840.

The previous prime is 413737. The next prime is 413753. The reversal of 413744 is 447314.

413744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

413744 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 3 ways as a sum of consecutive naturals, for example, 377 + ... + 984.

It is an arithmetic number, because the mean of its divisors is an integer number (42222).

2⁴¹³⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

413744 is an abundant number, since it is smaller than the sum of its proper divisors (430696).

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

413744 is a wasteful number, since it uses less digits than its factorization.

413744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1382 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 413744 is about 643.2293525641. The cubic root of 413744 is about 74.5150338262.

The spelling of 413744 in words is "four hundred thirteen thousand, seven hundred forty-four".