413720100 has 108 divisors (see below), whose sum is σ = 1309666176. Its totient is φ = 109229760.

The previous prime is 413720093. The next prime is 413720107. The reversal of 413720100 is 1027314.

It is an interprime number because it is at equal distance from previous prime (413720093) and next prime (413720107).

It is a super-2 number, since 2×413720100² = 342328642288020000, which contains 22 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 (413720107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90469 + ... + 94931.

Almost surely, 2^413720100 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 413720100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654833088).

413720100 is an abundant number, since it is smaller than the sum of its proper divisors (895946076).

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

413720100 is a wasteful number, since it uses less digits than its factorization.

413720100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 413720100 is about 20340.1106191682. The cubic root of 413720100 is about 745.1359900695.

Adding to 413720100 its reverse (1027314), we get a palindrome (414747414).

The spelling of 413720100 in words is "four hundred thirteen million, seven hundred twenty thousand, one hundred".