493920336 has 160 divisors (see below), whose sum is σ = 1592953600. Its totient is φ = 128397312.

The previous prime is 493920313. The next prime is 493920337. The reversal of 493920336 is 633029394.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 493920294 and 493920303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493920337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318090 + ... + 319638.

It is an arithmetic number, because the mean of its divisors is an integer number (9955960).

Almost surely, 2^493920336 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 493920336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796476800).

493920336 is an abundant number, since it is smaller than the sum of its proper divisors (1099033264).

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

493920336 is a wasteful number, since it uses less digits than its factorization.

493920336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The square root of 493920336 is about 22224.3185722307. The cubic root of 493920336 is about 790.4704435050.

The spelling of 493920336 in words is "four hundred ninety-three million, nine hundred twenty thousand, three hundred thirty-six".