416034060 has 144 divisors (see below), whose sum is σ = 1278335520. Its totient is φ = 101038080.

The previous prime is 416034041. The next prime is 416034071. The reversal of 416034060 is 60430614.

It is a self number, because there is not a number n which added to its sum of digits gives 416034060.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 902230 + ... + 902690.

It is an arithmetic number, because the mean of its divisors is an integer number (8877330).

Almost surely, 2^416034060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416034060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639167760).

416034060 is an abundant number, since it is smaller than the sum of its proper divisors (862301460).

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

416034060 is a wasteful number, since it uses less digits than its factorization.

416034060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 416034060 is about 20396.9130017265. The cubic root of 416034060 is about 746.5226040975.

Adding to 416034060 its reverse (60430614), we get a palindrome (476464674).

The spelling of 416034060 in words is "four hundred sixteen million, thirty-four thousand, sixty".