460256580 has 288 divisors, whose sum is σ = 1684859904. Its totient is φ = 103296384.

The previous prime is 460256507. The next prime is 460256603. The reversal of 460256580 is 85652064.

It is a super-2 number, since 2×460256580² = 423672238866592800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2823579 + ... + 2823741.

It is an arithmetic number, because the mean of its divisors is an integer number (5850208).

Almost surely, 2^460256580 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 460256580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842429952).

460256580 is an abundant number, since it is smaller than the sum of its proper divisors (1224603324).

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

460256580 is a wasteful number, since it uses less digits than its factorization.

460256580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 460256580 is about 21453.5913077508. The cubic root of 460256580 is about 772.0877619540.

The spelling of 460256580 in words is "four hundred sixty million, two hundred fifty-six thousand, five hundred eighty".