460741365 has 144 divisors (see below), whose sum is σ = 985944960. Its totient is φ = 205752960.

The previous prime is 460741331. The next prime is 460741387. The reversal of 460741365 is 563147064.

It is a happy number.

460741365 is a `hidden beast` number, since 4 + 607 + 41 + 3 + 6 + 5 = 666.

It is not a de Polignac number, because 460741365 - 2⁸ = 460741109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4226931 + ... + 4227039.

It is an arithmetic number, because the mean of its divisors is an integer number (6846840).

Almost surely, 2^460741365 is an apocalyptic number.

460741365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460741365 is an abundant number, since it is smaller than the sum of its proper divisors (525203595).

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

460741365 is a wasteful number, since it uses less digits than its factorization.

460741365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 460741365 is about 21464.8867921543. The cubic root of 460741365 is about 772.3587450274.

The spelling of 460741365 in words is "four hundred sixty million, seven hundred forty-one thousand, three hundred sixty-five".