413315100 has 216 divisors, whose sum is σ = 1433158272. Its totient is φ = 98793600.

The previous prime is 413315059. The next prime is 413315107. The reversal of 413315100 is 1513314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413315107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 821449 + ... + 821951.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2^413315100 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 413315100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716579136).

413315100 is an abundant number, since it is smaller than the sum of its proper divisors (1019843172).

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

413315100 is a wasteful number, since it uses less digits than its factorization.

413315100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 413315100 is about 20330.1524834419. The cubic root of 413315100 is about 744.8927671734.

Adding to 413315100 its reverse (1513314), we get a palindrome (414828414).

It can be divided in two parts, 413 and 315100, that added together give a palindrome (315513).

The spelling of 413315100 in words is "four hundred thirteen million, three hundred fifteen thousand, one hundred".