493305120 has 384 divisors, whose sum is σ = 2154055680. Its totient is φ = 102435840.

The previous prime is 493305107. The next prime is 493305143. The reversal of 493305120 is 21503394.

It is a super-3 number, since 3×493305120³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331899 + ... + 333381.

It is an arithmetic number, because the mean of its divisors is an integer number (5609520).

Almost surely, 2^493305120 is an apocalyptic number.

493305120 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 493305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077027840).

493305120 is an abundant number, since it is smaller than the sum of its proper divisors (1660750560).

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

493305120 is a wasteful number, since it uses less digits than its factorization.

493305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 493305120 is about 22210.4732052246. The cubic root of 493305120 is about 790.1421097765.

The spelling of 493305120 in words is "four hundred ninety-three million, three hundred five thousand, one hundred twenty".