413121210 has 64 divisors (see below), whose sum is σ = 1018942848. Its totient is φ = 107138304.

The previous prime is 413121139. The next prime is 413121217. The reversal of 413121210 is 12121314.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 413121210.

It is not an unprimeable number, because it can be changed into a prime (413121217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377424 + ... + 378516.

It is an arithmetic number, because the mean of its divisors is an integer number (15920982).

Almost surely, 2^413121210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509471424).

413121210 is an abundant number, since it is smaller than the sum of its proper divisors (605821638).

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

413121210 is a wasteful number, since it uses less digits than its factorization.

413121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 413121210 is about 20325.3833912180. The cubic root of 413121210 is about 744.7762702210.

Adding to 413121210 its reverse (12121314), we get a palindrome (425242524).

It can be divided in two parts, 41 and 3121210, that added together give a triangular number (3121251 = T₂₄₉₈).

The spelling of 413121210 in words is "four hundred thirteen million, one hundred twenty-one thousand, two hundred ten".