493973352 has 96 divisors (see below), whose sum is σ = 1421297280. Its totient is φ = 154452480.

The previous prime is 493973351. The next prime is 493973377. The reversal of 493973352 is 253379394.

It is a super-2 number, since 2×493973352² = 488019344972231808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 493973298 and 493973307.

It is not an unprimeable number, because it can be changed into a prime (493973351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541777 + ... + 542687.

It is an arithmetic number, because the mean of its divisors is an integer number (14805180).

Almost surely, 2^493973352 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 493973352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710648640).

493973352 is an abundant number, since it is smaller than the sum of its proper divisors (927323928).

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

493973352 is a wasteful number, since it uses less digits than its factorization.

493973352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1376 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 493973352 is about 22225.5112877072. The cubic root of 493973352 is about 790.4987247740.

The spelling of 493973352 in words is "four hundred ninety-three million, nine hundred seventy-three thousand, three hundred fifty-two".