460700205001 has 3 divisors (see below), whose sum is σ = 460700883751. Its totient is φ = 460699526252.

The previous prime is 460700204999. The next prime is 460700205013. The reversal of 460700205001 is 100502007064.

The square root of 460700205001 is 678749.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 257100716601 + 203599488400 = 507051^2 + 451220^2 .

It is not a de Polignac number, because 460700205001 - 2¹ = 460700204999 is a prime.

It is a super-3 number, since 3×460700205001³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460700205061) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 339375 + ... + 1018123.

Almost surely, 2^460700205001 is an apocalyptic number.

460700205001 is the 678749-th square number.

460700205001 is the 339375-th centered octagonal number.

It is an amenable number.

460700205001 is a deficient number, since it is larger than the sum of its proper divisors (678750).

460700205001 is an frugal number, since it uses more digits than its factorization.

460700205001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357498 (or 678749 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Multiplying 460700205001 by its sum of digits (25), we get a square (11517505125025 = 3393745²).

The spelling of 460700205001 in words is "four hundred sixty billion, seven hundred million, two hundred five thousand, one".