463166032 has 60 divisors (see below), whose sum is σ = 1049647476. Its totient is φ = 197406720.

The previous prime is 463166017. The next prime is 463166069. The reversal of 463166032 is 230661364.

It can be written as a sum of positive squares in 2 ways, for example, as 299428416 + 163737616 = 17304^2 + 12796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 463165985 and 463166003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149782 + ... + 152842.

Almost surely, 2^463166032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463166032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524823738).

463166032 is an abundant number, since it is smaller than the sum of its proper divisors (586481444).

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

463166032 is a wasteful number, since it uses less digits than its factorization.

463166032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 463166032 is about 21521.2925262401. The cubic root of 463166032 is about 773.7112299590.

The spelling of 463166032 in words is "four hundred sixty-three million, one hundred sixty-six thousand, thirty-two".