493109760 has 320 divisors, whose sum is σ = 1856131200. Its totient is φ = 110100480.

The previous prime is 493109753. The next prime is 493109761. The reversal of 493109760 is 67901394.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (493109761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098016 + ... + 1098464.

It is an arithmetic number, because the mean of its divisors is an integer number (5800410).

Almost surely, 2^493109760 is an apocalyptic number.

493109760 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 493109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928065600).

493109760 is an abundant number, since it is smaller than the sum of its proper divisors (1363021440).

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

493109760 is a wasteful number, since it uses less digits than its factorization.

493109760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 493109760 is about 22206.0748445105. The cubic root of 493109760 is about 790.0377912809.

The spelling of 493109760 in words is "four hundred ninety-three million, one hundred nine thousand, seven hundred sixty".