476518140 has 504 divisors, whose sum is σ = 1883982240. Its totient is φ = 100590336.

The previous prime is 476518139. The next prime is 476518171. The reversal of 476518140 is 41815674.

It is a happy number.

476518140 is a `hidden beast` number, since 476 + 5 + 181 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 476518095 and 476518104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16431646 + ... + 16431674.

It is an arithmetic number, because the mean of its divisors is an integer number (3738060).

Almost surely, 2^476518140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476518140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941991120).

476518140 is an abundant number, since it is smaller than the sum of its proper divisors (1407464100).

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

476518140 is a wasteful number, since it uses less digits than its factorization.

476518140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 476518140 is about 21829.2954535871. The cubic root of 476518140 is about 781.0757346567.

The spelling of 476518140 in words is "four hundred seventy-six million, five hundred eighteen thousand, one hundred forty".