413217480 has 128 divisors (see below), whose sum is σ = 1371283200. Its totient is φ = 98952192.

The previous prime is 413217463. The next prime is 413217481. The reversal of 413217480 is 84712314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (413217481) 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 31 ways as a sum of consecutive naturals, for example, 54141 + ... + 61299.

It is an arithmetic number, because the mean of its divisors is an integer number (10713150).

Almost surely, 2^413217480 is an apocalyptic number.

413217480 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 413217480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685641600).

413217480 is an abundant number, since it is smaller than the sum of its proper divisors (958065720).

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

413217480 is a wasteful number, since it uses less digits than its factorization.

413217480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7223 (or 7219 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 413217480 is about 20327.7514742777. The cubic root of 413217480 is about 744.8341176849.

Adding to 413217480 its reverse (84712314), we get a palindrome (497929794).

It can be divided in two parts, 4132 and 17480, that added together give a palindrome (21612).

The spelling of 413217480 in words is "four hundred thirteen million, two hundred seventeen thousand, four hundred eighty".