477610641 has 16 divisors (see below), whose sum is σ = 714067200. Its totient is φ = 315483984.

The previous prime is 477610577. The next prime is 477610643. The reversal of 477610641 is 146016774.

477610641 is a `hidden beast` number, since 4 + 7 + 7 + 6 + 1 + 0 + 641 = 666.

It is not a de Polignac number, because 477610641 - 2⁶ = 477610577 is a prime.

It is a super-2 number, since 2×477610641² = 456223848792861762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 477610596 and 477610605.

It is not an unprimeable number, because it can be changed into a prime (477610643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78201 + ... + 84086.

It is an arithmetic number, because the mean of its divisors is an integer number (44629200).

Almost surely, 2^477610641 is an apocalyptic number.

It is an amenable number.

477610641 is a deficient number, since it is larger than the sum of its proper divisors (236456559).

477610641 is a wasteful number, since it uses less digits than its factorization.

477610641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162405 (or 162399 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 477610641 is about 21854.3048619717. The cubic root of 477610641 is about 781.6721965371.

The spelling of 477610641 in words is "four hundred seventy-seven million, six hundred ten thousand, six hundred forty-one".