460037984121 has 9 divisors (see below), whose sum is σ = 664502249541. Its totient is φ = 306690632892.

The previous prime is 460037984111. The next prime is 460037984129. The reversal of 460037984121 is 121489730064.

The square root of 460037984121 is 678261.

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

460037984121 is a `hidden beast` number, since 4 + 600 + 37 + 9 + 8 + 4 + 1 + 2 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 460037984121 - 2⁹ = 460037983609 is a prime.

It is a super-3 number, since 3×460037984121³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (460037984129) 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, 1921740 + ... + 2147826.

Almost surely, 2^460037984121 is an apocalyptic number.

460037984121 is the 678261-st square number.

460037984121 is the 339131-st centered octagonal number.

It is an amenable number.

460037984121 is a deficient number, since it is larger than the sum of its proper divisors (204464265420).

460037984121 is an frugal number, since it uses more digits than its factorization.

460037984121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452180 (or 226090 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 460037984121 in words is "four hundred sixty billion, thirty-seven million, nine hundred eighty-four thousand, one hundred twenty-one".