460754440 has 32 divisors (see below), whose sum is σ = 1056262680. Its totient is φ = 180823552.

The previous prime is 460754431. The next prime is 460754461. The reversal of 460754440 is 44457064.

It can be written as a sum of positive squares in 4 ways, for example, as 288252484 + 172501956 = 16978^2 + 13134^2 .

It is a super-3 number, since 3×460754440³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 460754396 and 460754405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106549 + ... + 110788.

Almost surely, 2^460754440 is an apocalyptic number.

460754440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460754440 is an abundant number, since it is smaller than the sum of its proper divisors (595508240).

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

460754440 is a wasteful number, since it uses less digits than its factorization.

460754440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217401 (or 217397 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 460754440 is about 21465.1913571717. The cubic root of 460754440 is about 772.3660510027.

The spelling of 460754440 in words is "four hundred sixty million, seven hundred fifty-four thousand, four hundred forty".