413120 has 28 divisors (see below), whose sum is σ = 984504. Its totient is φ = 165120.

The previous prime is 413113. The next prime is 413129. The reversal of 413120 is 21314.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413120.

It is not an unprimeable number, because it can be changed into a prime (413129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 326 + ... + 965.

2⁴¹³¹²⁰ is an apocalyptic number.

413120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413120 is an abundant number, since it is smaller than the sum of its proper divisors (571384).

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

413120 is a wasteful number, since it uses less digits than its factorization.

413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 413120 is about 642.7441170481. The cubic root of 413120 is about 74.4775543090.

Adding to 413120 its reverse (21314), we get a palindrome (434434).

The spelling of 413120 in words is "four hundred thirteen thousand, one hundred twenty".