416801660 has 48 divisors (see below), whose sum is σ = 958970880. Its totient is φ = 150911040.

The previous prime is 416801657. The next prime is 416801683. The reversal of 416801660 is 66108614.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48617 + ... + 56543.

It is an arithmetic number, because the mean of its divisors is an integer number (19978560).

Almost surely, 2^416801660 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 416801660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479485440).

416801660 is an abundant number, since it is smaller than the sum of its proper divisors (542169220).

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

416801660 is a wasteful number, since it uses less digits than its factorization.

416801660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8186 (or 8184 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 416801660 is about 20415.7209032647. The cubic root of 416801660 is about 746.9814436854.

The spelling of 416801660 in words is "four hundred sixteen million, eight hundred one thousand, six hundred sixty".