481638657 has 64 divisors (see below), whose sum is σ = 731934720. Its totient is φ = 280433664.

The previous prime is 481638643. The next prime is 481638667. The reversal of 481638657 is 756836184.

It is not a de Polignac number, because 481638657 - 2⁶ = 481638593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (481638637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4262233 + ... + 4262345.

It is an arithmetic number, because the mean of its divisors is an integer number (11436480).

Almost surely, 2^481638657 is an apocalyptic number.

481638657 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

481638657 is a deficient number, since it is larger than the sum of its proper divisors (250296063).

481638657 is a wasteful number, since it uses less digits than its factorization.

481638657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its digits is 967680, while the sum is 48.

The square root of 481638657 is about 21946.2674958636. The cubic root of 481638657 is about 783.8635058652.

The spelling of 481638657 in words is "four hundred eighty-one million, six hundred thirty-eight thousand, six hundred fifty-seven".