460260040 has 64 divisors (see below), whose sum is σ = 1099215360. Its totient is φ = 172846080.

The previous prime is 460260037. The next prime is 460260041. The reversal of 460260040 is 40062064.

It is a junction number, because it is equal to n+sod(n) for n = 460259993 and 460260020.

It is not an unprimeable number, because it can be changed into a prime (460260041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463945 + ... + 464935.

It is an arithmetic number, because the mean of its divisors is an integer number (17175240).

Almost surely, 2^460260040 is an apocalyptic number.

460260040 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 460260040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549607680).

460260040 is an abundant number, since it is smaller than the sum of its proper divisors (638955320).

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

460260040 is a wasteful number, since it uses less digits than its factorization.

460260040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 460260040 is about 21453.6719467787. The cubic root of 460260040 is about 772.0896966842.

The spelling of 460260040 in words is "four hundred sixty million, two hundred sixty thousand, forty".