476410086 has 80 divisors (see below), whose sum is σ = 1152597600. Its totient is φ = 146627712.

The previous prime is 476410049. The next prime is 476410087. The reversal of 476410086 is 680014674.

476410086 is a `hidden beast` number, since 4 + 7 + 641 + 0 + 0 + 8 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 476410086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476410087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105850 + ... + 110258.

It is an arithmetic number, because the mean of its divisors is an integer number (14407470).

Almost surely, 2^476410086 is an apocalyptic number.

476410086 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 476410086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576298800).

476410086 is an abundant number, since it is smaller than the sum of its proper divisors (676187514).

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

476410086 is a wasteful number, since it uses less digits than its factorization.

476410086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 476410086 is about 21826.8203364576. The cubic root of 476410086 is about 781.0166919673.

The spelling of 476410086 in words is "four hundred seventy-six million, four hundred ten thousand, eighty-six".