460772001 has 12 divisors (see below), whose sum is σ = 666405012. Its totient is φ = 306791136.

The previous prime is 460771991. The next prime is 460772009. The reversal of 460772001 is 100277064.

It can be written as a sum of positive squares in 2 ways, for example, as 294980625 + 165791376 = 17175^2 + 12876^2 .

It is not a de Polignac number, because 460772001 - 2⁶ = 460771937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (460772009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24946 + ... + 39291.

It is an arithmetic number, because the mean of its divisors is an integer number (55533751).

Almost surely, 2^460772001 is an apocalyptic number.

It is an amenable number.

460772001 is a deficient number, since it is larger than the sum of its proper divisors (205633011).

460772001 is a wasteful number, since it uses less digits than its factorization.

460772001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65040 (or 65037 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 460772001 is about 21465.6004108900. The cubic root of 460772001 is about 772.3758634225.

The spelling of 460772001 in words is "four hundred sixty million, seven hundred seventy-two thousand, one".