408513 has 16 divisors (see below), whose sum is σ = 636800. Its totient is φ = 232848.

The previous prime is 408497. The next prime is 408533. The reversal of 408513 is 315804.

It is not a de Polignac number, because 408513 - 2⁴ = 408497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 408513.

It is not an unprimeable number, because it can be changed into a prime (408533) 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, 831 + ... + 1227.

It is an arithmetic number, because the mean of its divisors is an integer number (39800).

2⁴⁰⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

408513 is a deficient number, since it is larger than the sum of its proper divisors (228287).

408513 is an equidigital number, since it uses as much as digits as its factorization.

408513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 408513 is about 639.1502170852. The cubic root of 408513 is about 74.1996677332.

The spelling of 408513 in words is "four hundred eight thousand, five hundred thirteen".