493614336 has 144 divisors (see below), whose sum is σ = 1398096000. Its totient is φ = 154312704.

The previous prime is 493614323. The next prime is 493614337. The reversal of 493614336 is 633416394.

It is a super-2 number, since 2×493614336² = 487310225409441792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 493614294 and 493614303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493614337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823765 + ... + 824363.

It is an arithmetic number, because the mean of its divisors is an integer number (9709000).

Almost surely, 2^493614336 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 493614336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699048000).

493614336 is an abundant number, since it is smaller than the sum of its proper divisors (904481664).

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

493614336 is a wasteful number, since it uses less digits than its factorization.

493614336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 493614336 is about 22217.4331550699. The cubic root of 493614336 is about 790.3071689126.

The spelling of 493614336 in words is "four hundred ninety-three million, six hundred fourteen thousand, three hundred thirty-six".