460901258269321 has 9 divisors (see below), whose sum is σ = 461133472332999. Its totient is φ = 460669161115800.

The previous prime is 460901258269273. The next prime is 460901258269337. The reversal of 460901258269321 is 123962852109064.

It is a happy number.

The square root of 460901258269321 is 21468611.

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

It can be written as a sum of positive squares in only one way, i.e., 379719356259321 + 81181902010000 = 19486389^2 + 9010100^2 .

It is not a de Polignac number, because 460901258269321 - 2¹⁵ = 460901258236553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460901258269391) 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, 56269225336 + ... + 56269233526.

Almost surely, 2^{460901258269321} is an apocalyptic number.

460901258269321 is the 21468611-st square number.

460901258269321 is the 10734306-th centered octagonal number.

It is an amenable number.

460901258269321 is a deficient number, since it is larger than the sum of its proper divisors (232214063678).

460901258269321 is an frugal number, since it uses more digits than its factorization.

460901258269321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21624 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 460901258269321 in words is "four hundred sixty trillion, nine hundred one billion, two hundred fifty-eight million, two hundred sixty-nine thousand, three hundred twenty-one".