493331580 has 192 divisors, whose sum is σ = 1846656000. Its totient is φ = 106811136.

The previous prime is 493331569. The next prime is 493331603. The reversal of 493331580 is 85133394.

493331580 is a `hidden beast` number, since 49 + 3 + 3 + 31 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 68386 + ... + 75254.

It is an arithmetic number, because the mean of its divisors is an integer number (9618000).

Almost surely, 2^493331580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493331580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923328000).

493331580 is an abundant number, since it is smaller than the sum of its proper divisors (1353324420).

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

493331580 is a wasteful number, since it uses less digits than its factorization.

493331580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6905 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 493331580 is about 22211.0688621687. The cubic root of 493331580 is about 790.1562367915.

The spelling of 493331580 in words is "four hundred ninety-three million, three hundred thirty-one thousand, five hundred eighty".