493869360 has 80 divisors (see below), whose sum is σ = 1539588960. Its totient is φ = 130959360.

The previous prime is 493869349. The next prime is 493869367. The reversal of 493869360 is 63968394.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (493869367) 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 15 ways as a sum of consecutive naturals, for example, 37756 + ... + 49124.

It is an arithmetic number, because the mean of its divisors is an integer number (19244862).

Almost surely, 2^493869360 is an apocalyptic number.

493869360 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 493869360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769794480).

493869360 is an abundant number, since it is smaller than the sum of its proper divisors (1045719600).

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

493869360 is a wasteful number, since it uses less digits than its factorization.

493869360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11566 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 493869360 is about 22223.1716908276. The cubic root of 493869360 is about 790.4432485610.

The spelling of 493869360 in words is "four hundred ninety-three million, eight hundred sixty-nine thousand, three hundred sixty".