460206432 has 108 divisors (see below), whose sum is σ = 1522425996. Its totient is φ = 131483520.

The previous prime is 460206419. The next prime is 460206443. The reversal of 460206432 is 234602064.

It is a junction number, because it is equal to n+sod(n) for n = 460206396 and 460206405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2194 + ... + 30417.

It is an arithmetic number, because the mean of its divisors is an integer number (14096537).

Almost surely, 2^460206432 is an apocalyptic number.

460206432 is a gapful number since it is divisible by the number (42) 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 460206432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761212998).

460206432 is an abundant number, since it is smaller than the sum of its proper divisors (1062219564).

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

460206432 is a wasteful number, since it uses less digits than its factorization.

460206432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32641 (or 32623 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 460206432 is about 21452.4225205453. The cubic root of 460206432 is about 772.0597195786.

Adding to 460206432 its reverse (234602064), we get a palindrome (694808496).

The spelling of 460206432 in words is "four hundred sixty million, two hundred six thousand, four hundred thirty-two".