481272627 has 32 divisors (see below), whose sum is σ = 709632000. Its totient is φ = 287713440.

The previous prime is 481272619. The next prime is 481272707. The reversal of 481272627 is 726272184.

It is not a de Polignac number, because 481272627 - 2³ = 481272619 is a prime.

It is a super-2 number, since 2×481272627² = 463246682998962258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (481272607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096074 + ... + 1096512.

It is an arithmetic number, because the mean of its divisors is an integer number (22176000).

Almost surely, 2^481272627 is an apocalyptic number.

481272627 is a deficient number, since it is larger than the sum of its proper divisors (228359373).

481272627 is a wasteful number, since it uses less digits than its factorization.

481272627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831.

The product of its digits is 75264, while the sum is 39.

The square root of 481272627 is about 21937.9266796113. The cubic root of 481272627 is about 783.6648851300.

It can be divided in two parts, 4812726 and 27, that added together give a triangular number (4812753 = T₃₁₀₂).

The spelling of 481272627 in words is "four hundred eighty-one million, two hundred seventy-two thousand, six hundred twenty-seven".