477643140 has 288 divisors, whose sum is σ = 1646701056. Its totient is φ = 111283200.

The previous prime is 477643121. The next prime is 477643151. The reversal of 477643140 is 41346774.

It is a happy number.

477643140 is a `hidden beast` number, since 4 + 7 + 7 + 643 + 1 + 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 = 477643095 and 477643104.

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 95 ways as a sum of consecutive naturals, for example, 4729090 + ... + 4729190.

It is an arithmetic number, because the mean of its divisors is an integer number (5717712).

Almost surely, 2^477643140 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 477643140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823350528).

477643140 is an abundant number, since it is smaller than the sum of its proper divisors (1169057916).

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

477643140 is a wasteful number, since it uses less digits than its factorization.

477643140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 477643140 is about 21855.0483870432. The cubic root of 477643140 is about 781.6899257545.

The spelling of 477643140 in words is "four hundred seventy-seven million, six hundred forty-three thousand, one hundred forty".