460829975121 has 24 divisors (see below), whose sum is σ = 679787133480. Its totient is φ = 300760416000.

The previous prime is 460829975119. The next prime is 460829975129. The reversal of 460829975121 is 121579928064.

It is a happy number.

460829975121 is a `hidden beast` number, since 4 + 608 + 2 + 9 + 9 + 7 + 5 + 1 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23009552721 + 437820422400 = 151689^2 + 661680^2 .

It is not a de Polignac number, because 460829975121 - 2¹ = 460829975119 is a prime.

It is a super-3 number, since 3×460829975121³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (460829975129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2767210 + ... + 2929011.

It is an arithmetic number, because the mean of its divisors is an integer number (28324463895).

Almost surely, 2^460829975121 is an apocalyptic number.

It is an amenable number.

460829975121 is a deficient number, since it is larger than the sum of its proper divisors (218957158359).

460829975121 is a wasteful number, since it uses less digits than its factorization.

460829975121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696417 (or 5696414 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 460829975121 in words is "four hundred sixty billion, eight hundred twenty-nine million, nine hundred seventy-five thousand, one hundred twenty-one".