460005000 has 320 divisors, whose sum is σ = 1773932160. Its totient is φ = 96768000.

The previous prime is 460004999. The next prime is 460005011. The reversal of 460005000 is 500064.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1364832 + ... + 1365168.

It is an arithmetic number, because the mean of its divisors is an integer number (5543538).

Almost surely, 2^460005000 is an apocalyptic number.

460005000 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 460005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886966080).

460005000 is an abundant number, since it is smaller than the sum of its proper divisors (1313927160).

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

460005000 is a wasteful number, since it uses less digits than its factorization.

460005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 460005000 is about 21447.7271523115. The cubic root of 460005000 is about 771.9470598255.

Adding to 460005000 its reverse (500064), we get a palindrome (460505064).

The spelling of 460005000 in words is "four hundred sixty million, five thousand".