460917961 has 9 divisors (see below), whose sum is σ = 536344749. Its totient is φ = 394943724.

The previous prime is 460917959. The next prime is 460917973. The reversal of 460917961 is 169719064.

It is a happy number.

The square root of 460917961 is 21469.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 460917961 - 2¹ = 460917959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460917911) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 148750 + ... + 151816.

It is an arithmetic number, because the mean of its divisors is an integer number (59593861).

Almost surely, 2^460917961 is an apocalyptic number.

460917961 is the 21469-th square number.

460917961 is the 10735-th centered octagonal number.

It is an amenable number.

460917961 is a deficient number, since it is larger than the sum of its proper divisors (75426788).

460917961 is an frugal number, since it uses more digits than its factorization.

460917961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The cubic root of 460917961 is about 772.4574106801.

The spelling of 460917961 in words is "four hundred sixty million, nine hundred seventeen thousand, nine hundred sixty-one".