416413080 has 96 divisors (see below), whose sum is σ = 1397036160. Its totient is φ = 107458560.

The previous prime is 416413073. The next prime is 416413093. The reversal of 416413080 is 80314614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7497 + ... + 29816.

It is an arithmetic number, because the mean of its divisors is an integer number (14552460).

Almost surely, 2^416413080 is an apocalyptic number.

416413080 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 416413080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698518080).

416413080 is an abundant number, since it is smaller than the sum of its proper divisors (980623080).

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

416413080 is a wasteful number, since it uses less digits than its factorization.

416413080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37361 (or 37354 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 416413080 is about 20406.2019984121. The cubic root of 416413080 is about 746.7492370775.

Adding to 416413080 its reverse (80314614), we get a palindrome (496727694).

The spelling of 416413080 in words is "four hundred sixteen million, four hundred thirteen thousand, eighty".