416681680 has 20 divisors (see below), whose sum is σ = 968785092. Its totient is φ = 166672640.

The previous prime is 416681677. The next prime is 416681687. The reversal of 416681680 is 86186614.

It can be written as a sum of positive squares in 2 ways, for example, as 207705744 + 208975936 = 14412^2 + 14456^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416681687) 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 3 ways as a sum of consecutive naturals, for example, 2604181 + ... + 2604340.

Almost surely, 2^416681680 is an apocalyptic number.

416681680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416681680 is an abundant number, since it is smaller than the sum of its proper divisors (552103412).

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

416681680 is a wasteful number, since it uses less digits than its factorization.

416681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208534 (or 5208528 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 416681680 is about 20412.7822699406. The cubic root of 416681680 is about 746.9097617616.

The spelling of 416681680 in words is "four hundred sixteen million, six hundred eighty-one thousand, six hundred eighty".