493456401 has 16 divisors (see below), whose sum is σ = 732275200. Its totient is φ = 328418064.

The previous prime is 493456393. The next prime is 493456427. The reversal of 493456401 is 104654394.

493456401 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 5 + 640 + 1 = 666.

It is not a de Polignac number, because 493456401 - 2³ = 493456393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (493456441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335 + ... + 31443.

It is an arithmetic number, because the mean of its divisors is an integer number (45767200).

Almost surely, 2^493456401 is an apocalyptic number.

It is an amenable number.

493456401 is a deficient number, since it is larger than the sum of its proper divisors (238818799).

493456401 is a wasteful number, since it uses less digits than its factorization.

493456401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30725 (or 30719 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 493456401 is about 22213.8785672381. The cubic root of 493456401 is about 790.2228720111. Note that the first 3 decimals are identical.

The spelling of 493456401 in words is "four hundred ninety-three million, four hundred fifty-six thousand, four hundred one".