416834860 has 48 divisors (see below), whose sum is σ = 944981856. Its totient is φ = 153533952.

The previous prime is 416834833. The next prime is 416834867. The reversal of 416834860 is 68438614.

It is a super-2 number, since 2×416834860² = 347502601022439200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416834867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119704 + ... + 123136.

It is an arithmetic number, because the mean of its divisors is an integer number (19687122).

Almost surely, 2^416834860 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 416834860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472490928).

416834860 is an abundant number, since it is smaller than the sum of its proper divisors (528146996).

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

416834860 is a wasteful number, since it uses less digits than its factorization.

416834860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 416834860 is about 20416.5339859634. The cubic root of 416834860 is about 747.0012765603.

The spelling of 416834860 in words is "four hundred sixteen million, eight hundred thirty-four thousand, eight hundred sixty".