463008690 has 64 divisors (see below), whose sum is σ = 1246752000. Its totient is φ = 122262912.

The previous prime is 463008683. The next prime is 463008691. The reversal of 463008690 is 96800364.

It is a super-2 number, since 2×463008690² = 428754094031032200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (463008691) 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, 19486 + ... + 36134.

It is an arithmetic number, because the mean of its divisors is an integer number (19480500).

Almost surely, 2^463008690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463008690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623376000).

463008690 is an abundant number, since it is smaller than the sum of its proper divisors (783743310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463008690 is a wasteful number, since it uses less digits than its factorization.

463008690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16768 (or 16762 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 463008690 is about 21517.6367196772. The cubic root of 463008690 is about 773.6236076295.

The spelling of 463008690 in words is "four hundred sixty-three million, eight thousand, six hundred ninety".