416560872 has 128 divisors (see below), whose sum is σ = 1326124800. Its totient is φ = 106057728.

The previous prime is 416560871. The next prime is 416560873. The reversal of 416560872 is 278065614.

It is an interprime number because it is at equal distance from previous prime (416560871) and next prime (416560873).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 416560872.

It is not an unprimeable number, because it can be changed into a prime (416560871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60048 + ... + 66624.

It is an arithmetic number, because the mean of its divisors is an integer number (10360350).

Almost surely, 2^416560872 is an apocalyptic number.

416560872 is a gapful number since it is divisible by the number (42) 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 416560872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663062400).

416560872 is an abundant number, since it is smaller than the sum of its proper divisors (909563928).

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

416560872 is a wasteful number, since it uses less digits than its factorization.

416560872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 416560872 is about 20409.8229291682. The cubic root of 416560872 is about 746.8375712457.

The spelling of 416560872 in words is "four hundred sixteen million, five hundred sixty thousand, eight hundred seventy-two".