407813 has 16 divisors (see below), whose sum is σ = 518400. Its totient is φ = 312576.

The previous prime is 407807. The next prime is 407821. The reversal of 407813 is 318704.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 407813 - 2¹⁰ = 406789 is a prime.

It is a super-2 number, since 2×407813² = 332622885938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2663 + ... + 2811.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁴⁰⁷⁸¹³ is an apocalyptic number.

It is an amenable number.

407813 is a deficient number, since it is larger than the sum of its proper divisors (110587).

407813 is a wasteful number, since it uses less digits than its factorization.

407813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 407813 is about 638.6023802023. The cubic root of 407813 is about 74.1572623405.

It can be divided in two parts, 407 and 813, that multiplied together give a triangular number (330891 = T₈₁₃).

The spelling of 407813 in words is "four hundred seven thousand, eight hundred thirteen".