415680880 has 20 divisors (see below), whose sum is σ = 966458232. Its totient is φ = 166272320.

The previous prime is 415680833. The next prime is 415680883. The reversal of 415680880 is 88086514.

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

It is a super-3 number, since 3×415680880³ (a number of 27 digits) contains 333 as substring.

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 (415680883) 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, 2597926 + ... + 2598085.

Almost surely, 2^415680880 is an apocalyptic number.

415680880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415680880 is an abundant number, since it is smaller than the sum of its proper divisors (550777352).

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

415680880 is a wasteful number, since it uses less digits than its factorization.

415680880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196024 (or 5196018 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 415680880 is about 20388.2534808649. The cubic root of 415680880 is about 746.3112980837.

The spelling of 415680880 in words is "four hundred fifteen million, six hundred eighty thousand, eight hundred eighty".