476550144 has 264 divisors, whose sum is σ = 1609433280. Its totient is φ = 133005312.

The previous prime is 476550131. The next prime is 476550161. The reversal of 476550144 is 441055674.

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 = 476550099 and 476550108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5354452 + ... + 5354540.

Almost surely, 2^476550144 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 476550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804716640).

476550144 is an abundant number, since it is smaller than the sum of its proper divisors (1132883136).

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

476550144 is a wasteful number, since it uses less digits than its factorization.

476550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 476550144 is about 21830.0284928811. The cubic root of 476550144 is about 781.0932205165.

The spelling of 476550144 in words is "four hundred seventy-six million, five hundred fifty thousand, one hundred forty-four".