463217160 has 128 divisors (see below), whose sum is σ = 1599264000. Its totient is φ = 105139200.

The previous prime is 463217141. The next prime is 463217189. The reversal of 463217160 is 61712364.

463217160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123310 + ... + 127010.

It is an arithmetic number, because the mean of its divisors is an integer number (12494250).

Almost surely, 2^463217160 is an apocalyptic number.

463217160 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 463217160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799632000).

463217160 is an abundant number, since it is smaller than the sum of its proper divisors (1136046840).

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

463217160 is a wasteful number, since it uses less digits than its factorization.

463217160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 463217160 is about 21522.4803403325. The cubic root of 463217160 is about 773.7396984056.

The spelling of 463217160 in words is "four hundred sixty-three million, two hundred seventeen thousand, one hundred sixty".