413010 has 48 divisors (see below), whose sum is σ = 1159704. Its totient is φ = 101376.

The previous prime is 413009. The next prime is 413027. The reversal of 413010 is 10314.

It can be written as a sum of positive squares in 4 ways, for example, as 239121 + 173889 = 489^2 + 417^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 412983 and 413001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994 + ... + 1346.

2⁴¹³⁰¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579852).

413010 is an abundant number, since it is smaller than the sum of its proper divisors (746694).

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

413010 is a wasteful number, since it uses less digits than its factorization.

413010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 413010 is about 642.6585407508. The cubic root of 413010 is about 74.4709434306.

Adding to 413010 its reverse (10314), we get a palindrome (423324).

The spelling of 413010 in words is "four hundred thirteen thousand, ten".