493605120 has 144 divisors (see below), whose sum is σ = 1587059712. Its totient is φ = 130744320.

The previous prime is 493605097. The next prime is 493605121. The reversal of 493605120 is 21506394.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493605121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733104 + ... + 733776.

It is an arithmetic number, because the mean of its divisors is an integer number (11021248).

Almost surely, 2^493605120 is an apocalyptic number.

493605120 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 493605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793529856).

493605120 is an abundant number, since it is smaller than the sum of its proper divisors (1093454592).

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

493605120 is a wasteful number, since it uses less digits than its factorization.

493605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 493605120 is about 22217.2257494044. The cubic root of 493605120 is about 790.3022504194.

The spelling of 493605120 in words is "four hundred ninety-three million, six hundred five thousand, one hundred twenty".