416171560 has 192 divisors, whose sum is σ = 1175932800. Its totient is φ = 129724416.

The previous prime is 416171557. The next prime is 416171563. The reversal of 416171560 is 65171614.

It is an interprime number because it is at equal distance from previous prime (416171557) and next prime (416171563).

It is not an unprimeable number, because it can be changed into a prime (416171563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2993971 + ... + 2994109.

It is an arithmetic number, because the mean of its divisors is an integer number (6124650).

Almost surely, 2^416171560 is an apocalyptic number.

416171560 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 416171560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587966400).

416171560 is an abundant number, since it is smaller than the sum of its proper divisors (759761240).

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

416171560 is a wasteful number, since it uses less digits than its factorization.

416171560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 416171560 is about 20400.2833313658. The cubic root of 416171560 is about 746.6048373902.

The spelling of 416171560 in words is "four hundred sixteen million, one hundred seventy-one thousand, five hundred sixty".