413490 has 64 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 85440.

The previous prime is 413477. The next prime is 413521. The reversal of 413490 is 94314.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

413490 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2221 + ... + 2399.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2⁴¹³⁴⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

413490 is an abundant number, since it is smaller than the sum of its proper divisors (830670).

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

413490 is a wasteful number, since it uses less digits than its factorization.

413490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 413490 is about 643.0318810137. The cubic root of 413490 is about 74.4997822915.

It can be divided in two parts, 4134 and 90, that added together give a palindrome (4224).

The spelling of 413490 in words is "four hundred thirteen thousand, four hundred ninety".