413743 has 8 divisors (see below), whose sum is σ = 467280. Its totient is φ = 362880.

The previous prime is 413737. The next prime is 413753. The reversal of 413743 is 347314.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413743 - 2⁵ = 413711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (58410).

2⁴¹³⁷⁴³ is an apocalyptic number.

413743 is a deficient number, since it is larger than the sum of its proper divisors (53537).

413743 is a wasteful number, since it uses less digits than its factorization.

413743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337.

The product of its digits is 1008, while the sum is 22.

The square root of 413743 is about 643.2285752359. The cubic root of 413743 is about 74.5149737931.

It can be divided in two parts, 413 and 743, that added together give a square (1156 = 34²).

The spelling of 413743 in words is "four hundred thirteen thousand, seven hundred forty-three".