476385505164 has 144 divisors (see below), whose sum is σ = 1305045181440. Its totient is φ = 146138952960.

The previous prime is 476385505153. The next prime is 476385505171. The reversal of 476385505164 is 461505583674.

It is a happy number.

476385505164 is a `hidden beast` number, since 4 + 7 + 6 + 38 + 550 + 51 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 476385505164.

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, 2192304 + ... + 2399784.

It is an arithmetic number, because the mean of its divisors is an integer number (9062813760).

Almost surely, 2^476385505164 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 476385505164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652522590720).

476385505164 is an abundant number, since it is smaller than the sum of its proper divisors (828659676276).

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

476385505164 is a wasteful number, since it uses less digits than its factorization.

476385505164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207620 (or 207615 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 476385505164 in words is "four hundred seventy-six billion, three hundred eighty-five million, five hundred five thousand, one hundred sixty-four".