481787505 has 12 divisors (see below), whose sum is σ = 835098420. Its totient is φ = 256953312.

The previous prime is 481787491. The next prime is 481787507. The reversal of 481787505 is 505787184.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 243640881 + 238146624 = 15609^2 + 15432^2 .

It is not a de Polignac number, because 481787505 - 2¹⁵ = 481754737 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 10706389 = 481787505 / (4 + 8 + 1 + 7 + 8 + 7 + 5 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (481787507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5353150 + ... + 5353239.

It is an arithmetic number, because the mean of its divisors is an integer number (69591535).

Almost surely, 2^481787505 is an apocalyptic number.

481787505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481787505 is a deficient number, since it is larger than the sum of its proper divisors (353310915).

481787505 is a wasteful number, since it uses less digits than its factorization.

481787505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706400 (or 10706397 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 481787505 is about 21949.6584255883. The cubic root of 481787505 is about 783.9442472371.

The spelling of 481787505 in words is "four hundred eighty-one million, seven hundred eighty-seven thousand, five hundred five".