415476880 has 240 divisors, whose sum is σ = 1253919744. Its totient is φ = 126766080.

The previous prime is 415476871. The next prime is 415476913. The reversal of 415476880 is 88674514.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1579629 + ... + 1579891.

Almost surely, 2^415476880 is an apocalyptic number.

415476880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

415476880 is the 10192-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415476880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626959872).

415476880 is an abundant number, since it is smaller than the sum of its proper divisors (838442864).

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

415476880 is a wasteful number, since it uses less digits than its factorization.

415476880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 415476880 is about 20383.2499862019. The cubic root of 415476880 is about 746.1891912588.

The spelling of 415476880 in words is "four hundred fifteen million, four hundred seventy-six thousand, eight hundred eighty".