477385146 has 144 divisors (see below), whose sum is σ = 1290051360. Its totient is φ = 126826560.

The previous prime is 477385087. The next prime is 477385187. The reversal of 477385146 is 641583774.

477385146 is a `hidden beast` number, since 477 + 38 + 5 + 146 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1022005 + ... + 1022471.

It is an arithmetic number, because the mean of its divisors is an integer number (8958690).

Almost surely, 2^477385146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477385146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645025680).

477385146 is an abundant number, since it is smaller than the sum of its proper divisors (812666214).

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

477385146 is a wasteful number, since it uses less digits than its factorization.

477385146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 559 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 477385146 is about 21849.1452006709. The cubic root of 477385146 is about 781.5491598319.

The spelling of 477385146 in words is "four hundred seventy-seven million, three hundred eighty-five thousand, one hundred forty-six".