493351560 has 480 divisors, whose sum is σ = 1937069640. Its totient is φ = 112140288.

The previous prime is 493351553. The next prime is 493351561. The reversal of 493351560 is 65153394.

493351560 is a `hidden beast` number, since 4 + 93 + 3 + 5 + 1 + 560 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 18198756 + 475152804 = 4266^2 + 21798^2 .

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

It is not an unprimeable number, because it can be changed into a prime (493351561) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9308494 + ... + 9308546.

Almost surely, 2^493351560 is an apocalyptic number.

493351560 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 493351560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968534820).

493351560 is an abundant number, since it is smaller than the sum of its proper divisors (1443718080).

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

493351560 is a wasteful number, since it uses less digits than its factorization.

493351560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 493351560 is about 22211.5186333578. The cubic root of 493351560 is about 790.1669037946.

The spelling of 493351560 in words is "four hundred ninety-three million, three hundred fifty-one thousand, five hundred sixty".