463742006 has 64 divisors (see below), whose sum is σ = 916876800. Its totient is φ = 170781696.

The previous prime is 463742003. The next prime is 463742023. The reversal of 463742006 is 600247364.

463742006 = 2308² + 2309² + ... + 2391².

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463742003) 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 31 ways as a sum of consecutive naturals, for example, 202886 + ... + 205158.

It is an arithmetic number, because the mean of its divisors is an integer number (14326200).

Almost surely, 2^463742006 is an apocalyptic number.

463742006 is a deficient number, since it is larger than the sum of its proper divisors (453134794).

463742006 is a wasteful number, since it uses less digits than its factorization.

463742006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373.

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 463742006 is about 21534.6698604831. The cubic root of 463742006 is about 774.0318154678.

The spelling of 463742006 in words is "four hundred sixty-three million, seven hundred forty-two thousand, six".