407413 has 4 divisors (see below), whose sum is σ = 413068. Its totient is φ = 401760.

The previous prime is 407401. The next prime is 407437. The reversal of 407413 is 314704.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 178929 + 228484 = 423^2 + 478^2 .

It is a cyclic number.

It is not a de Polignac number, because 407413 - 2¹³ = 399221 is a prime.

It is a Duffinian number.

407413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407483) 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, 2718 + ... + 2863.

It is an arithmetic number, because the mean of its divisors is an integer number (103267).

2⁴⁰⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

407413 is a deficient number, since it is larger than the sum of its proper divisors (5655).

407413 is an equidigital number, since it uses as much as digits as its factorization.

407413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654.

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 407413 is about 638.2891194435. The cubic root of 407413 is about 74.1330088972.

It can be divided in two parts, 407 and 413, that added together give a triangular number (820 = T₄₀).

The spelling of 407413 in words is "four hundred seven thousand, four hundred thirteen".