413201412 has 60 divisors (see below), whose sum is σ = 1163293516. Its totient is φ = 127137600.

The previous prime is 413201407. The next prime is 413201419. The reversal of 413201412 is 214102314.

It can be written as a sum of positive squares in 2 ways, for example, as 43639236 + 369562176 = 6606^2 + 19224^2 .

It is a super-3 number, since 3×413201412³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (413201419) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44839 + ... + 53262.

Almost surely, 2^413201412 is an apocalyptic number.

It is an amenable number.

413201412 is an abundant number, since it is smaller than the sum of its proper divisors (750092104).

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

413201412 is a wasteful number, since it uses less digits than its factorization.

413201412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98130 (or 98119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 413201412 is about 20327.3562471857. The cubic root of 413201412 is about 744.8244632452.

Adding to 413201412 its reverse (214102314), we get a palindrome (627303726).

The spelling of 413201412 in words is "four hundred thirteen million, two hundred one thousand, four hundred twelve".