413480 has 16 divisors (see below), whose sum is σ = 930420. Its totient is φ = 165376.

The previous prime is 413477. The next prime is 413521. The reversal of 413480 is 84314.

It can be written as a sum of positive squares in 2 ways, for example, as 362404 + 51076 = 602^2 + 226^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5129 + ... + 5208.

2⁴¹³⁴⁸⁰ is an apocalyptic number.

413480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413480 is an abundant number, since it is smaller than the sum of its proper divisors (516940).

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

413480 is a wasteful number, since it uses less digits than its factorization.

413480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10348 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 413480 is about 643.0241053024. The cubic root of 413480 is about 74.4991817096.

Adding to 413480 its reverse (84314), we get a palindrome (497794).

The spelling of 413480 in words is "four hundred thirteen thousand, four hundred eighty".