463471680 has 224 divisors, whose sum is σ = 1781104896. Its totient is φ = 99680256.

The previous prime is 463471661. The next prime is 463471709. The reversal of 463471680 is 86174364.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112212 + ... + 116268.

Almost surely, 2^463471680 is an apocalyptic number.

463471680 is a gapful number since it is divisible by the number (40) 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 463471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890552448).

463471680 is an abundant number, since it is smaller than the sum of its proper divisors (1317633216).

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

463471680 is a wasteful number, since it uses less digits than its factorization.

463471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 463471680 is about 21528.3924155985. The cubic root of 463471680 is about 773.8813858524.

The spelling of 463471680 in words is "four hundred sixty-three million, four hundred seventy-one thousand, six hundred eighty".