493968575600 has 30 divisors (see below), whose sum is σ = 1186759503840. Its totient is φ = 197587430080.

The previous prime is 493968575579. The next prime is 493968575603. The reversal of 493968575600 is 6575869394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493968575603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 617460320 + ... + 617461119.

It is an arithmetic number, because the mean of its divisors is an integer number (39558650128).

Almost surely, 2^493968575600 is an apocalyptic number.

493968575600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493968575600 is an abundant number, since it is smaller than the sum of its proper divisors (692790928240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

493968575600 is a wasteful number, since it uses less digits than its factorization.

493968575600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234921457 (or 1234921446 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 62.

The spelling of 493968575600 in words is "four hundred ninety-three billion, nine hundred sixty-eight million, five hundred seventy-five thousand, six hundred".