463471008 has 432 divisors, whose sum is σ = 1703340576. Its totient is φ = 109025280.

The previous prime is 463471007. The next prime is 463471027. The reversal of 463471008 is 800174364.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 463471008.

It is not an unprimeable number, because it can be changed into a prime (463471007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8744710 + ... + 8744762.

It is an arithmetic number, because the mean of its divisors is an integer number (3942918).

Almost surely, 2^463471008 is an apocalyptic number.

463471008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463471008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851670288).

463471008 is an abundant number, since it is smaller than the sum of its proper divisors (1239869568).

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

463471008 is a wasteful number, since it uses less digits than its factorization.

463471008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 463471008 is about 21528.3768082965. The cubic root of 463471008 is about 773.8810118284.

The spelling of 463471008 in words is "four hundred sixty-three million, four hundred seventy-one thousand, eight".