480695006 has 24 divisors (see below), whose sum is σ = 805568232. Its totient is φ = 214909200.

The previous prime is 480694967. The next prime is 480695011. The reversal of 480695006 is 600596084.

It is a super-3 number, since 3×480695006³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1520 + ... + 31043.

It is an arithmetic number, because the mean of its divisors is an integer number (33565343).

Almost surely, 2^480695006 is an apocalyptic number.

480695006 is a deficient number, since it is larger than the sum of its proper divisors (324873226).

480695006 is a wasteful number, since it uses less digits than its factorization.

480695006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32648 (or 32637 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 480695006 is about 21924.7578321860. The cubic root of 480695006 is about 783.3512427272.

The spelling of 480695006 in words is "four hundred eighty million, six hundred ninety-five thousand, six".