493411840 has 80 divisors (see below), whose sum is σ = 1195829712. Its totient is φ = 195231744.

The previous prime is 493411823. The next prime is 493411883. The reversal of 493411840 is 48114394.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 493411796 and 493411805.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 247327 + ... + 249313.

Almost surely, 2^493411840 is an apocalyptic number.

493411840 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 493411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597914856).

493411840 is an abundant number, since it is smaller than the sum of its proper divisors (702417872).

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

493411840 is an equidigital number, since it uses as much as digits as its factorization.

493411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 493411840 is about 22212.8755455029. The cubic root of 493411840 is about 790.1990845794.

The spelling of 493411840 in words is "four hundred ninety-three million, four hundred eleven thousand, eight hundred forty".