460006580 has 48 divisors (see below), whose sum is σ = 1068306624. Its totient is φ = 164977920.

The previous prime is 460006571. The next prime is 460006583. The reversal of 460006580 is 85600064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460006583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1739 + ... + 30381.

It is an arithmetic number, because the mean of its divisors is an integer number (22256388).

Almost surely, 2^460006580 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 460006580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534153312).

460006580 is an abundant number, since it is smaller than the sum of its proper divisors (608300044).

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

460006580 is a wasteful number, since it uses less digits than its factorization.

460006580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28736 (or 28734 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 460006580 is about 21447.7639860196. The cubic root of 460006580 is about 771.9479436384.

The spelling of 460006580 in words is "four hundred sixty million, six thousand, five hundred eighty".