460913076 has 72 divisors (see below), whose sum is σ = 1257330984. Its totient is φ = 141523200.

The previous prime is 460913071. The next prime is 460913083. The reversal of 460913076 is 670319064.

It can be written as a sum of positive squares in 4 ways, for example, as 6200100 + 454712976 = 2490^2 + 21324^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 460913076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460913071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353626 + ... + 354926.

Almost surely, 2^460913076 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 460913076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628665492).

460913076 is an abundant number, since it is smaller than the sum of its proper divisors (796417908).

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

460913076 is a wasteful number, since it uses less digits than its factorization.

460913076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 460913076 is about 21468.8862310088. The cubic root of 460913076 is about 772.4546817290.

The spelling of 460913076 in words is "four hundred sixty million, nine hundred thirteen thousand, seventy-six".