460962900 has 90 divisors (see below), whose sum is σ = 1494285870. Its totient is φ = 122921280.

The previous prime is 460962899. The next prime is 460962907. The reversal of 460962900 is 9269064.

It can be written as a sum of positive squares in 3 ways, for example, as 5225796 + 455737104 = 2286^2 + 21348^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460962907) 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 29 ways as a sum of consecutive naturals, for example, 20355 + ... + 36554.

Almost surely, 2^460962900 is an apocalyptic number.

It is an amenable number.

460962900 is an abundant number, since it is smaller than the sum of its proper divisors (1033322970).

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

460962900 is a wasteful number, since it uses less digits than its factorization.

460962900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56935 (or 56919 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 460962900 is about 21470.0465765680. The cubic root of 460962900 is about 772.4825144501.

The spelling of 460962900 in words is "four hundred sixty million, nine hundred sixty-two thousand, nine hundred".