413710000 has 100 divisors (see below), whose sum is σ = 1092981384. Its totient is φ = 150400000.

The previous prime is 413709983. The next prime is 413710001. The reversal of 413710000 is 17314.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (413710001) 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 19 ways as a sum of consecutive naturals, for example, 108120 + ... + 111880.

Almost surely, 2^413710000 is an apocalyptic number.

413710000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546490692).

413710000 is an abundant number, since it is smaller than the sum of its proper divisors (679271384).

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

413710000 is a wasteful number, since it uses less digits than its factorization.

413710000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 413710000 is about 20339.8623397505. The cubic root of 413710000 is about 745.1299264412.

Adding to 413710000 its reverse (17314), we get a palindrome (413727314).

The spelling of 413710000 in words is "four hundred thirteen million, seven hundred ten thousand".