413882476560 has 960 divisors, whose sum is σ = 1728889344000. Its totient is φ = 86614437888.

The previous prime is 413882476549. The next prime is 413882476621. The reversal of 413882476560 is 65674288314.

It is a happy number.

413882476560 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 8 + 2 + 4 + 76 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 413882476497 and 413882476506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 705080587 + ... + 705081173.

It is an arithmetic number, because the mean of its divisors is an integer number (1800926400).

Almost surely, 2^413882476560 is an apocalyptic number.

413882476560 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 413882476560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864444672000).

413882476560 is an abundant number, since it is smaller than the sum of its proper divisors (1315006867440).

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

413882476560 is a wasteful number, since it uses less digits than its factorization.

413882476560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 413882476560 in words is "four hundred thirteen billion, eight hundred eighty-two million, four hundred seventy-six thousand, five hundred sixty".