460535040 has 216 divisors, whose sum is σ = 1821351168. Its totient is φ = 105246720.

The previous prime is 460535021. The next prime is 460535063. The reversal of 460535040 is 40535064.

460535040 is a `hidden beast` number, since 4 + 605 + 3 + 50 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 460534995 and 460535013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77785 + ... + 83495.

Almost surely, 2^460535040 is an apocalyptic number.

460535040 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 460535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910675584).

460535040 is an abundant number, since it is smaller than the sum of its proper divisors (1360816128).

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

460535040 is a wasteful number, since it uses less digits than its factorization.

460535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 460535040 is about 21460.0801489650. The cubic root of 460535040 is about 772.2434375951.

The spelling of 460535040 in words is "four hundred sixty million, five hundred thirty-five thousand, forty".