407613 has 8 divisors (see below), whose sum is σ = 550368. Its totient is φ = 268304.

The previous prime is 407599. The next prime is 407621. The reversal of 407613 is 316704.

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 407613 - 2⁸ = 407357 is a prime.

It is a super-2 number, since 2×407613² = 332296715538, which contains 22 as substring.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 407613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407633) 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, 570 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

2⁴⁰⁷⁶¹³ is an apocalyptic number.

It is an amenable number.

407613 is a deficient number, since it is larger than the sum of its proper divisors (142755).

407613 is a wasteful number, since it uses less digits than its factorization.

407613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 407613 is about 638.4457690360. The cubic root of 407613 is about 74.1451376022.

Subtracting from 407613 its reverse (316704), we obtain a palindrome (90909).

The spelling of 407613 in words is "four hundred seven thousand, six hundred thirteen".