460315000 has 80 divisors (see below), whose sum is σ = 1104115320. Its totient is φ = 179760000.

The previous prime is 460314989. The next prime is 460315003. The reversal of 460315000 is 513064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460315003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 213930 + ... + 216070.

Almost surely, 2^460315000 is an apocalyptic number.

460315000 is a gapful number since it is divisible by the number (40) 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 460315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552057660).

460315000 is an abundant number, since it is smaller than the sum of its proper divisors (643800320).

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

460315000 is a wasteful number, since it uses less digits than its factorization.

460315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 460315000 is about 21454.9528081513. The cubic root of 460315000 is about 772.1204273995.

Adding to 460315000 its reverse (513064), we get a palindrome (460828064).

The spelling of 460315000 in words is "four hundred sixty million, three hundred fifteen thousand".