416681356 has 96 divisors (see below), whose sum is σ = 957640320. Its totient is φ = 154478592.

The previous prime is 416681347. The next prime is 416681359. The reversal of 416681356 is 653186614.

It is not an unprimeable number, because it can be changed into a prime (416681359) 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 31 ways as a sum of consecutive naturals, for example, 1788216 + ... + 1788448.

It is an arithmetic number, because the mean of its divisors is an integer number (9975420).

Almost surely, 2^416681356 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 416681356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478820160).

416681356 is an abundant number, since it is smaller than the sum of its proper divisors (540958964).

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

416681356 is a wasteful number, since it uses less digits than its factorization.

416681356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 272 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 416681356 is about 20412.7743337352. The cubic root of 416681356 is about 746.9095681695.

The spelling of 416681356 in words is "four hundred sixteen million, six hundred eighty-one thousand, three hundred fifty-six".