460999900 has 72 divisors (see below), whose sum is σ = 1031340240. Its totient is φ = 178752000.

The previous prime is 460999871. The next prime is 460999901. The reversal of 460999900 is 9999064.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460999901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 938655 + ... + 939145.

It is an arithmetic number, because the mean of its divisors is an integer number (14324170).

Almost surely, 2^460999900 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 460999900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515670120).

460999900 is an abundant number, since it is smaller than the sum of its proper divisors (570340340).

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

460999900 is a wasteful number, since it uses less digits than its factorization.

460999900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 46.

The square root of 460999900 is about 21470.9082248516. The cubic root of 460999900 is about 772.5031821209.

The spelling of 460999900 in words is "four hundred sixty million, nine hundred ninety-nine thousand, nine hundred".