506477361 has 8 divisors (see below), whose sum is σ = 727249600. Its totient is φ = 311678352.

The previous prime is 506477359. The next prime is 506477393. The reversal of 506477361 is 163774605.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 506477361 - 2¹ = 506477359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 12986599 = 506477361 / (5 + 0 + 6 + 4 + 7 + 7 + 3 + 6 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506477351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6493261 + ... + 6493338.

It is an arithmetic number, because the mean of its divisors is an integer number (90906200).

Almost surely, 2^506477361 is an apocalyptic number.

It is an amenable number.

506477361 is a deficient number, since it is larger than the sum of its proper divisors (220772239).

506477361 is a wasteful number, since it uses less digits than its factorization.

506477361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12986615.

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 506477361 is about 22505.0518995180. The cubic root of 506477361 is about 797.1132211856.

The spelling of 506477361 in words is "five hundred six million, four hundred seventy-seven thousand, three hundred sixty-one".