493968301 has 8 divisors (see below), whose sum is σ = 504164408. Its totient is φ = 483840000.

The previous prime is 493968257. The next prime is 493968341. The reversal of 493968301 is 103869394.

It can be written as a sum of positive squares in 4 ways, for example, as 7986276 + 485982025 = 2826^2 + 22045^2 .

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

It is a 6-Lehmer number, since φ(493968301) divides (493968301-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 493968301 - 2⁷ = 493968173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493968341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2100 + ... + 31501.

It is an arithmetic number, because the mean of its divisors is an integer number (63020551).

Almost surely, 2^493968301 is an apocalyptic number.

493968301 is the 9940-th centered decagonal number.

It is an amenable number.

493968301 is a deficient number, since it is larger than the sum of its proper divisors (10196107).

493968301 is a wasteful number, since it uses less digits than its factorization.

493968301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33903.

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 493968301 is about 22225.3976567350. The cubic root of 493968301 is about 790.4960304163.

The spelling of 493968301 in words is "four hundred ninety-three million, nine hundred sixty-eight thousand, three hundred one".