413460 has 36 divisors (see below), whose sum is σ = 1254708. Its totient is φ = 110208.

The previous prime is 413443. The next prime is 413461. The reversal of 413460 is 64314.

It can be written as a sum of positive squares in 2 ways, for example, as 171396 + 242064 = 414^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (34853).

2⁴¹³⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

413460 is an abundant number, since it is smaller than the sum of its proper divisors (841248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413460 is a wasteful number, since it uses less digits than its factorization.

413460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413460 is about 643.0085535979. The cubic root of 413460 is about 74.4979805167.

Adding to 413460 its reverse (64314), we get a palindrome (477774).

The spelling of 413460 in words is "four hundred thirteen thousand, four hundred sixty".