493014770960 has 160 divisors (see below), whose sum is σ = 1298512425600. Its totient is φ = 172953722880.

The previous prime is 493014770957. The next prime is 493014770987. The reversal of 493014770960 is 69077410394.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 493014770899 and 493014770908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419851 + ... + 1732629.

It is an arithmetic number, because the mean of its divisors is an integer number (8115702660).

Almost surely, 2^493014770960 is an apocalyptic number.

493014770960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493014770960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649256212800).

493014770960 is an abundant number, since it is smaller than the sum of its proper divisors (805497654640).

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

493014770960 is a wasteful number, since it uses less digits than its factorization.

493014770960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312889 (or 312883 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The spelling of 493014770960 in words is "four hundred ninety-three billion, fourteen million, seven hundred seventy thousand, nine hundred sixty".