416116520 has 16 divisors (see below), whose sum is σ = 936262260. Its totient is φ = 166446592.

The previous prime is 416116513. The next prime is 416116537. The reversal of 416116520 is 25611614.

It can be written as a sum of positive squares in 2 ways, for example, as 390694756 + 25421764 = 19766^2 + 5042^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 416116520.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5201417 + ... + 5201496.

Almost surely, 2^416116520 is an apocalyptic number.

416116520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416116520 is an abundant number, since it is smaller than the sum of its proper divisors (520145740).

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

416116520 is a wasteful number, since it uses less digits than its factorization.

416116520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402924 (or 10402920 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 416116520 is about 20398.9342858886. The cubic root of 416116520 is about 746.5719223251.

The spelling of 416116520 in words is "four hundred sixteen million, one hundred sixteen thousand, five hundred twenty".