460042965 has 12 divisors (see below), whose sum is σ = 797407884. Its totient is φ = 245356224.

The previous prime is 460042951. The next prime is 460043027. The reversal of 460042965 is 569240064.

460042965 is a `hidden beast` number, since 4 + 600 + 42 + 9 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136258929 + 323784036 = 11673^2 + 17994^2 .

It is not a de Polignac number, because 460042965 - 2⁴ = 460042949 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5111544 + ... + 5111633.

It is an arithmetic number, because the mean of its divisors is an integer number (66450657).

Almost surely, 2^460042965 is an apocalyptic number.

460042965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460042965 is a deficient number, since it is larger than the sum of its proper divisors (337364919).

460042965 is a wasteful number, since it uses less digits than its factorization.

460042965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10223188 (or 10223185 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 460042965 is about 21448.6121928669. The cubic root of 460042965 is about 771.9682959454.

The spelling of 460042965 in words is "four hundred sixty million, forty-two thousand, nine hundred sixty-five".