493302912 has 64 divisors (see below), whose sum is σ = 1312740000. Its totient is φ = 164132864.

The previous prime is 493302911. The next prime is 493303001. The reversal of 493302912 is 219203394.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (493302911) 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 7 ways as a sum of consecutive naturals, for example, 328339 + ... + 329837.

Almost surely, 2^493302912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493302912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656370000).

493302912 is an abundant number, since it is smaller than the sum of its proper divisors (819437088).

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

493302912 is a wasteful number, since it uses less digits than its factorization.

493302912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 493302912 is about 22210.4234988890. The cubic root of 493302912 is about 790.1409309007.

The spelling of 493302912 in words is "four hundred ninety-three million, three hundred two thousand, nine hundred twelve".