416960856 has 72 divisors (see below), whose sum is σ = 1222853580. Its totient is φ = 128291904.

The previous prime is 416960851. The next prime is 416960879. The reversal of 416960856 is 658069614.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416960851) 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 17 ways as a sum of consecutive naturals, for example, 4966 + ... + 29301.

Almost surely, 2^416960856 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 416960856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611426790).

416960856 is an abundant number, since it is smaller than the sum of its proper divisors (805892724).

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

416960856 is a wasteful number, since it uses less digits than its factorization.

416960856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34305 (or 34285 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 416960856 is about 20419.6193892051. The cubic root of 416960856 is about 747.0765339347.

It can be divided in two parts, 4169 and 60856, that added together give a square (65025 = 255²).

The spelling of 416960856 in words is "four hundred sixteen million, nine hundred sixty thousand, eight hundred fifty-six".