415111680 has 240 divisors, whose sum is σ = 1474593120. Its totient is φ = 107864064.

The previous prime is 415111679. The next prime is 415111693. The reversal of 415111680 is 86111514.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990511 + ... + 990929.

It is an arithmetic number, because the mean of its divisors is an integer number (6144138).

Almost surely, 2^415111680 is an apocalyptic number.

415111680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737296560).

415111680 is an abundant number, since it is smaller than the sum of its proper divisors (1059481440).

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

415111680 is a wasteful number, since it uses less digits than its factorization.

415111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 415111680 is about 20374.2896808699. The cubic root of 415111680 is about 745.9704962373.

The spelling of 415111680 in words is "four hundred fifteen million, one hundred eleven thousand, six hundred eighty".