493059840 has 576 divisors, whose sum is σ = 2076834816. Its totient is φ = 96731136.

The previous prime is 493059829. The next prime is 493059851. The reversal of 493059840 is 48950394.

It is an interprime number because it is at equal distance from previous prime (493059829) and next prime (493059851).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 493059792 and 493059801.

It is a congruent number.

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, 5940439 + ... + 5940521.

It is an arithmetic number, because the mean of its divisors is an integer number (3605616).

Almost surely, 2^493059840 is an apocalyptic number.

493059840 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 493059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038417408).

493059840 is an abundant number, since it is smaller than the sum of its proper divisors (1583774976).

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

493059840 is a wasteful number, since it uses less digits than its factorization.

493059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 493059840 is about 22204.9507993150. The cubic root of 493059840 is about 790.0111305380.

The spelling of 493059840 in words is "four hundred ninety-three million, fifty-nine thousand, eight hundred forty".