416352060 has 72 divisors (see below), whose sum is σ = 1272647376. Its totient is φ = 110173440.

The previous prime is 416352029. The next prime is 416352067. The reversal of 416352060 is 60253614.

416352060 is a `hidden beast` number, since 4 + 1 + 635 + 20 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416352067) 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 23 ways as a sum of consecutive naturals, for example, 14752 + ... + 32408.

It is an arithmetic number, because the mean of its divisors is an integer number (17675658).

Almost surely, 2^416352060 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 416352060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636323688).

416352060 is an abundant number, since it is smaller than the sum of its proper divisors (856295316).

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

416352060 is a wasteful number, since it uses less digits than its factorization.

416352060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17803 (or 17798 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 416352060 is about 20404.7068099495. The cubic root of 416352060 is about 746.7127597856.

The spelling of 416352060 in words is "four hundred sixteen million, three hundred fifty-two thousand, sixty".