460934180 has 72 divisors (see below), whose sum is σ = 1132294968. Its totient is φ = 157151232.

The previous prime is 460934153. The next prime is 460934189. The reversal of 460934180 is 81439064.

It can be written as a sum of positive squares in 4 ways, for example, as 89832484 + 371101696 = 9478^2 + 19264^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 460934180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460934189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187922 + ... + 190358.

It is an arithmetic number, because the mean of its divisors is an integer number (15726319).

Almost surely, 2^460934180 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 460934180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566147484).

460934180 is an abundant number, since it is smaller than the sum of its proper divisors (671360788).

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

460934180 is a wasteful number, since it uses less digits than its factorization.

460934180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 460934180 is about 21469.3777273586. The cubic root of 460934180 is about 772.4664711065.

The spelling of 460934180 in words is "four hundred sixty million, nine hundred thirty-four thousand, one hundred eighty".