413531300 has 144 divisors (see below), whose sum is σ = 1143260160. Its totient is φ = 126282240.

The previous prime is 413531221. The next prime is 413531309. The reversal of 413531300 is 3135314.

It is a happy number.

It is a super-3 number, since 3×413531300³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (413531309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263117 + ... + 264683.

Almost surely, 2^413531300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413531300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571630080).

413531300 is an abundant number, since it is smaller than the sum of its proper divisors (729728860).

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

413531300 is a wasteful number, since it uses less digits than its factorization.

413531300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 413531300 is about 20335.4690135241. The cubic root of 413531300 is about 745.0226259212.

Adding to 413531300 its reverse (3135314), we get a palindrome (416666614).

The spelling of 413531300 in words is "four hundred thirteen million, five hundred thirty-one thousand, three hundred".