460253912401 has 8 divisors (see below), whose sum is σ = 487335821544. Its totient is φ = 433172908800.

The previous prime is 460253912383. The next prime is 460253912429. The reversal of 460253912401 is 104219352064.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 366097603600 + 94156308801 = 605060^2 + 306849^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 460253912401 - 2¹⁷ = 460253781329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (460253912471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014391 + ... + 1396243.

It is an arithmetic number, because the mean of its divisors is an integer number (60916977693).

Almost surely, 2^460253912401 is an apocalyptic number.

It is an amenable number.

460253912401 is a deficient number, since it is larger than the sum of its proper divisors (27081909143).

460253912401 is a wasteful number, since it uses less digits than its factorization.

460253912401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452771.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 460253912401 in words is "four hundred sixty billion, two hundred fifty-three million, nine hundred twelve thousand, four hundred one".