493567360 has 128 divisors (see below), whose sum is σ = 1386473760. Its totient is φ = 165642240.

The previous prime is 493567357. The next prime is 493567367. The reversal of 493567360 is 63765394.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493567367) 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, 88824 + ... + 94216.

Almost surely, 2^493567360 is an apocalyptic number.

493567360 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 493567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693236880).

493567360 is an abundant number, since it is smaller than the sum of its proper divisors (892906400).

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

493567360 is a wasteful number, since it uses less digits than its factorization.

493567360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The square root of 493567360 is about 22216.3759420838. The cubic root of 493567360 is about 790.2820976207.

The spelling of 493567360 in words is "four hundred ninety-three million, five hundred sixty-seven thousand, three hundred sixty".