463200493 has 16 divisors (see below), whose sum is σ = 544924800. Its totient is φ = 385459200.

The previous prime is 463200457. The next prime is 463200497. The reversal of 463200493 is 394002364.

It is not a de Polignac number, because 463200493 - 2⁹ = 463199981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463200497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56733 + ... + 64381.

It is an arithmetic number, because the mean of its divisors is an integer number (34057800).

Almost surely, 2^463200493 is an apocalyptic number.

It is an amenable number.

463200493 is a deficient number, since it is larger than the sum of its proper divisors (81724307).

463200493 is a wasteful number, since it uses less digits than its factorization.

463200493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7908.

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 463200493 is about 21522.0931370534. The cubic root of 463200493 is about 773.7304183275.

The spelling of 463200493 in words is "four hundred sixty-three million, two hundred thousand, four hundred ninety-three".