463008007 has 24 divisors (see below), whose sum is σ = 589539600. Its totient is φ = 359573760.

The previous prime is 463007983. The next prime is 463008037. The reversal of 463008007 is 700800364.

It is not a de Polignac number, because 463008007 - 2⁷ = 463007879 is a prime.

It is a super-2 number, since 2×463008007² = 428752829092224098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463008037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180369 + ... + 182917.

It is an arithmetic number, because the mean of its divisors is an integer number (24564150).

Almost surely, 2^463008007 is an apocalyptic number.

463008007 is a deficient number, since it is larger than the sum of its proper divisors (126531593).

463008007 is a wasteful number, since it uses less digits than its factorization.

463008007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 463008007 is about 21517.6208489693. The cubic root of 463008007 is about 773.6232272297.

The spelling of 463008007 in words is "four hundred sixty-three million, eight thousand, seven".